RD SHARMA Solutions for Class 9 Maths Chapter 2 - Exponents of Real Numbers

Page / Exercise

Chapter 2 - Exponents of Real Numbers Exercise Ex. 2.1

Question 1(i)

Simplify:

3(a4b3)10 × 5(a2b2)3

Solution 1(i)

Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Exponents Of Real Numbers

Question 1(ii)

Simplify:

(2x-2y3)3

Solution 1(ii)

Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Exponents Of Real Numbers

Question 1(iii)

Simplify:

Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Exponents Of Real Numbers

Solution 1(iii)

Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Exponents Of Real Numbers

Question 1(iv)

Simplify:

Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Exponents Of Real Numbers

Solution 1(iv)

Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Exponents Of Real Numbers

Question 1(v)

Simplify:

Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Exponents Of Real Numbers

Solution 1(v)

Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Exponents Of Real Numbers

Question 1(vi)

Simplify:

Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Exponents Of Real Numbers

Solution 1(vi)

Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Exponents Of Real Numbers

Question 2(i)

If a = 3 and b = -2, find the value of:

aa + bb

Solution 2(i)

Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Exponents Of Real Numbers

Question 2(ii)

If a = 3 and b = -2, find the value of:

ab + ba

Solution 2(ii)

Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Exponents Of Real Numbers 

Question 2(iii)

If a = 3 and b = -2, find the value of:

(a + b)ab

Solution 2(iii)

Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Exponents Of Real Numbers

Question 3(i)

Prove that:

Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Exponents Of Real Numbers

Solution 3(i)

Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Exponents Of Real Numbers

Question 3(ii)

Prove that:

Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Exponents Of Real Numbers

Solution 3(ii)

Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Exponents Of Real Numbers

Question 4(i)

Prove that:

Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Exponents Of Real Numbers

Solution 4(i)

Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Exponents Of Real Numbers

Question 4(ii)

Prove that:

Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Exponents Of Real Numbers 

Solution 4(ii)

Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Exponents Of Real Numbers

Question 5(i)

Prove that:

Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Exponents Of Real Numbers

Solution 5(i)

Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Exponents Of Real Numbers

Question 5(ii)

Prove that:

Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Exponents Of Real Numbers

Solution 5(ii)

Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Exponents Of Real Numbers

Question 6

Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Exponents Of Real Numbers

Solution 6

Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Exponents Of Real Numbers

Question 7(i)

Simplify:

Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Exponents Of Real Numbers

Solution 7(i)

Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Exponents Of Real Numbers

Question 7(ii)

Simplify:

Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Exponents Of Real Numbers 

Solution 7(ii)

Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Exponents Of Real Numbers

Question 7(iii)

Simplify:

Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Exponents Of Real Numbers

Solution 7(iii)

Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Exponents Of Real Numbers

Question 7(iv)

Simplify:

Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Exponents Of Real Numbers

Solution 7(iv)

Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Exponents Of Real Numbers

Question 8(i)

Solve the equation for x:

72x + 3 = 1

Solution 8(i)

Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Exponents Of Real Numbers

Question 8(ii)

Solve the equation for x:

2x+1 = 4x-3

Solution 8(ii)

Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Exponents Of Real Numbers

Question 8(iii)

Solve the equation for x:

25x + 3 = 8x + 3

Solution 8(iii)

Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Exponents Of Real Numbers

Question 8(iv)

Solve the equation for x:

Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Exponents Of Real Numbers

Solution 8(iv)

Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Exponents Of Real Numbers

Question 8(v)

Solve the equation for x:

Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Exponents Of Real Numbers

Solution 8(v)

Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Exponents Of Real Numbers

Question 8(vi)

Solve the equation for x:

23x - 7 = 256

Solution 8(vi)

Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Exponents Of Real Numbers

Question 9(i)

Solve the equation for x:

22x - 2x+3 + 24 = 0

Solution 9(i)

Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Exponents Of Real Numbers

Question 9(ii)

Solve the equation for x:

32x + 4 + 1 = 2.3x + 2

Solution 9(ii)

Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Exponents Of Real Numbers

Question 10

If 49392 = a4b2c3, find the values of a, b and c, where a, b and c are different positive primes.

Solution 10

Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Exponents Of Real Numbers

Question 11

If 1176 = 2a × 3b × 7c, find a, b and c.

Solution 11

Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Exponents Of Real Numbers

Question 12

Given 4725 = 3a 5b 7c , find

  1. the integral values of a, b and c
  2. the values of 2-a3b7c
Solution 12

Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Exponents Of Real Numbers

Question 13

If a = xyp - 1, b = xyq-1 and c = xyr-1, prove that aq-rbr-p cp-q = 1.

Solution 13

Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Exponents Of Real Numbers

Chapter 2 - Exponents of Real Numbers Exercise Ex. 2.2

Question 1(i)

Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Exponents Of Real Numbers

Solution 1(i)

Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Exponents Of Real Numbers

Question 1(ii)

Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Exponents Of Real Numbers

Solution 1(ii)

Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Exponents Of Real Numbers

Question 1(iii)

Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Exponents Of Real Numbers

Solution 1(iii)

Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Exponents Of Real Numbers

Question 1(iv)

Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Exponents Of Real Numbers

Solution 1(iv)

Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Exponents Of Real Numbers

Question 1(v)

Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Exponents Of Real Numbers

Solution 1(v)

Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Exponents Of Real Numbers

Question 1(vi)

Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Exponents Of Real Numbers

Solution 1(vi)

Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Exponents Of Real Numbers

Question 1(vii)

Assuming that x, y, z are positive real numbers, simplify each of the following:

Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Exponents Of Real Numbers

Solution 1(vii)

Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Exponents Of Real Numbers

Question 2(i)

Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Exponents Of Real Numbers

Solution 2(i)

Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Exponents Of Real Numbers

Question 2(ii)

Simplify:

Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Exponents Of Real Numbers

Solution 2(ii)

Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Exponents Of Real Numbers

Question 2(iii)

Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Exponents Of Real Numbers

Solution 2(iii)

Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Exponents Of Real Numbers

Question 2(iv)

Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Exponents Of Real Numbers

Solution 2(iv)

Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Exponents Of Real Numbers

Question 2(v)

Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Exponents Of Real Numbers

Solution 2(v)

Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Exponents Of Real Numbers

Question 2(vi)

Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Exponents Of Real Numbers

Solution 2(vi)

Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Exponents Of Real Numbers

Question 2(vii)

Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Exponents Of Real Numbers

Solution 2(vii)

Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Exponents Of Real Numbers

Question 3(i)

Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Exponents Of Real Numbers

Solution 3(i)

Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Exponents Of Real Numbers

Question 3(ii)

Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Exponents Of Real Numbers

Solution 3(ii)

Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Exponents Of Real Numbers

Question 3(iii)

Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Exponents Of Real Numbers

Solution 3(iii)

Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Exponents Of Real Numbers

Question 3(iv)

Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Exponents Of Real Numbers

Solution 3(iv)

Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Exponents Of Real Numbers
Question 3(v)

Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Exponents Of Real Numbers

Solution 3(v)

Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Exponents Of Real Numbers

Question 3(vi)

Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Exponents Of Real Numbers

Solution 3(vi)

Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Exponents Of Real Numbers

Question 3(vii)

Prove that:

Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Exponents Of Real Numbers

Solution 3(vii)

Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Exponents Of Real Numbers

Question 3(viii)

Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Exponents Of Real Numbers

Solution 3(viii)

Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Exponents Of Real Numbers

Question 3(ix)

Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Exponents Of Real Numbers

Solution 3(ix)

Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Exponents Of Real Numbers

Question 4(i)

Show that:

Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Exponents Of Real Numbers

Solution 4(i)

Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Exponents Of Real Numbers

Question 4(ii)

Show that:

Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Exponents Of Real Numbers

Solution 4(ii)

Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Exponents Of Real Numbers

Question 4(iii)

Show that:

Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Exponents Of Real Numbers

Solution 4(iii)

Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Exponents Of Real Numbers

Question 4(iv)

Show that:

Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Exponents Of Real Numbers

Note: Question modified

Solution 4(iv)

Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Exponents Of Real Numbers

 

Note: Question modified

Question 4(v)

Show that:

(xa-b)a+b(xb-c)b+c(xc-a)c+a = 1

Solution 4(v)

Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Exponents Of Real Numbers

Question 4(vi)

Show that:

Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Exponents Of Real Numbers

Solution 4(vi)

Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Exponents Of Real Numbers

Question 4(vii)

Show that:

Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Exponents Of Real Numbers

Solution 4(vii)

Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Exponents Of Real Numbers

Question 4(viii)

Show that:

Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Exponents Of Real Numbers

Solution 4(viii)

Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Exponents Of Real Numbers

Question 5

Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Exponents Of Real Numbers

Solution 5

Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Exponents Of Real Numbers

Question 6

Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Exponents Of Real Numbers

Solution 6

Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Exponents Of Real Numbers

Question 7

Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Exponents Of Real Numbers

Solution 7

Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Exponents Of Real Numbers

Question 8

Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Exponents Of Real Numbers

Solution 8

Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Exponents Of Real Numbers

Question 9

Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Exponents Of Real Numbers

Solution 9

Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Exponents Of Real Numbers

Question 10(i)

Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Exponents Of Real Numbers

Solution 10(i)

Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Exponents Of Real Numbers

Question 10(ii)

Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Exponents Of Real Numbers

Solution 10(ii)

Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Exponents Of Real Numbers

Question 10(iii)

Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Exponents Of Real Numbers

Solution 10(iii)

Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Exponents Of Real Numbers

Question 10(iv)

Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Exponents Of Real Numbers

Solution 10(iv)

Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Exponents Of Real Numbers

Question 10(v)

Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Exponents Of Real Numbers

Solution 10(v)

Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Exponents Of Real Numbers

Question 10(vi)

Find the value of x if:

Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Exponents Of Real Numbers

Solution 10(vi)

Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Exponents Of Real Numbers

Question 10(vii)

Find the value of x if:

52x + 3 = 1

Solution 10(vii)

Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Exponents Of Real Numbers

Question 10(viii)

Find the value of x if:

Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Exponents Of Real Numbers

Solution 10(viii)

Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Exponents Of Real Numbers

Question 10(ix)

Find the value of x if:

Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Exponents Of Real Numbers

Solution 10(ix)

Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Exponents Of Real Numbers

Question 11

If x = 21/3 + 22/3, show that x3 - 6x = 6.

Solution 11

Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Exponents Of Real Numbers

Question 12

Determine (8x)x, if 9x+2 = 240 + 9x.

Solution 12

Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Exponents Of Real Numbers

Question 13

If 3x+1 = 9x-2, find the value of 21+x.

Solution 13

Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Exponents Of Real Numbers

Question 14

If 34x = (81)-1 and 101/y = 0.0001, find the value of  2-x+4y.

Solution 14

Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Exponents Of Real Numbers

Question 15

If 53x = 125 and 10y = 0.001 find x and y.

Solution 15

Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Exponents Of Real Numbers

Question 16(i)

Solve the equation:

3x + 1 = 27 × 34

Solution 16(i)

Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Exponents Of Real Numbers

Question 16(ii)

Solve the equation:

Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Exponents Of Real Numbers

Solution 16(ii)

Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Exponents Of Real Numbers

Question 16(iii)

Solve the equation

3x-1 × 52y-3 = 225

Solution 16(iii)

Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Exponents Of Real Numbers

Question 16(iv)

Solve the equation:

Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Exponents Of Real Numbers

Solution 16(iv)

Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Exponents Of Real Numbers

Question 16(v)

Solve the equation:

Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Exponents Of Real Numbers

Solution 16(v)

Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Exponents Of Real Numbers

Question 16(vi)

Solve the equation:

Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Exponents Of Real Numbers

Solution 16(vi)

Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Exponents Of Real Numbers

Question 17

Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Exponents Of Real Numbers

Solution 17

Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Exponents Of Real Numbers

Question 18(i)

If a and b are different positive primes such that

Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Exponents Of Real Numbers

Solution 18(i)

Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Exponents Of Real Numbers

Question 18(ii)

If a and b are different positive primes such that

(a + b)-1(a-1 + b-1) = axby, find x + y + 2.

Solution 18(ii)

Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Exponents Of Real Numbers

Question 19

If 2x × 3y × 5z = 2160, find x, y and z. Hence, compute the value of 3x × 2-y × 5-z.

Solution 19

Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Exponents Of Real Numbers

Question 20

If 1176 = 2a × 3b × 7c, find the values of a, b and c. hence, compute the value of 2a × 3b × 7-c as a fraction.

Solution 20

Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Exponents Of Real Numbers

Question 21(i)

Simplify :

Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Exponents Of Real Numbers

Solution 21(i)

Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Exponents Of Real Numbers

Question 21(ii)

Simplify:

Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Exponents Of Real Numbers

Solution 21(ii)

Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Exponents Of Real Numbers

Question 22

Show that:

Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Exponents Of Real Numbers

Solution 22

Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Exponents Of Real Numbers

Question 23(i)

If a = xm+nyl, b = xn+lym and c = xl+myn, prove that am-nbn-lcl-m = 1.

Solution 23(i)

Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Exponents Of Real Numbers

Question 23(ii)

If x = am+n, y = an+l and z = al+m, prove that xmynzl = znylzm.

Solution 23(ii)

Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Exponents Of Real Numbers

Chapter 2 - Exponents of Real Numbers Exercise 2.29

Question 1

The value of {2 - 3(2 - 3)3}3 is

(a) 5

(b) 125

(c) 1/5

(d) -125

Solution 1

{2 - 3(2 - 3)3}3 

= {2 - 3(-1)3}3

= {2 - 3(-1)}3

= {2 - (-3)}3 

= {2 + 3}3

= {5)3 

= 53 

= 125

 

So, correct option is (b).


Question 2

The value of x - yx-y when x = 2 and y = -2 is

(a) 18

(b) -18

(c) 14

(d) -14

Solution 2

x = 2, y = -2

x - y = 2 - (-2) = 2 + 2 = 4

Now x - yx-y = 2 - (-2)= 2 - 16 = -14

So, correct option is (d).

Question 3

The product of the square root of x with the cube root of x is

(a) cube root of the square root of x

(b) sixth root of the fifth power of x

(c) fifth root of the sixth power of x

(d) sixth root of x

Solution 3

Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Exponents Of Real Numbers

Question 4

Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Exponents Of Real Numbers

Solution 4

Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Exponents Of Real Numbers

Question 5

Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Exponents Of Real Numbers

Solution 5

Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Exponents Of Real Numbers

Chapter 2 - Exponents of Real Numbers Exercise 2.30

Question 6

Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Exponents Of Real Numbers

Solution 6

Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Exponents Of Real Numbers

Question 7

Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Exponents Of Real Numbers

Solution 7

Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Exponents Of Real Numbers

Question 8

If 8x+1 = 64, what is the value of 32x+1?

(a) 1

(b) 3

(c) 9

(d) 27

Solution 8

8x+1 = 64 = (8)2

so, x + 1 = 2

Hence, x = 1

Now, 32x + 1 = 32(1) + 1  = 33 = 27

Hence, correct option is (d).

Question 9

If (23)2 = 4x, then 3x =

(a) 3

(b) 6

(c) 9

(d) 27

 

Solution 9

Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Exponents Of Real Numbers

Question 10

If x-2 = 64, then x1/3 + x0 =

(a) 2

(b) 3

(c) 3/2

(d) 2/3

Solution 10

Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Exponents Of Real Numbers

Question 11

Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Exponents Of Real Numbers

Solution 11

Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Exponents Of Real Numbers

Question 12

Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Exponents Of Real Numbers

Solution 12

Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Exponents Of Real Numbers

Question 13

Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Exponents Of Real Numbers

Solution 13

Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Exponents Of Real Numbers

Question 14

Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Exponents Of Real Numbers

Solution 14

Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Exponents Of Real Numbers

Question 15

Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Exponents Of Real Numbers

Solution 15

Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Exponents Of Real Numbers

Chapter 2 - Exponents of Real Numbers Exercise 2.31

Question 16

Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Exponents Of Real Numbers

Solution 16

Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Exponents Of Real Numbers

Question 17

Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Exponents Of Real Numbers

Solution 17

Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Exponents Of Real Numbers

Question 18

Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Exponents Of Real Numbers

Solution 18

Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Exponents Of Real Numbers

Question 19

Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Exponents Of Real Numbers

Solution 19

Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Exponents Of Real Numbers

Question 20

Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Exponents Of Real Numbers

Solution 20

Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Exponents Of Real Numbers

Question 21

Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Exponents Of Real Numbers

Solution 21

Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Exponents Of Real Numbers

Question 22

Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Exponents Of Real Numbers

Solution 22

Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Exponents Of Real Numbers

Question 23

Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Exponents Of Real Numbers

Solution 23

Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Exponents Of Real Numbers

Question 24

If 9x+2 = 240 + 9x, then x =

(a) 0.5

(b) 0.2

(c) 0.4

(d) 0.1

Solution 24

Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Exponents Of Real Numbers

Question 25

If x is a positive real number and x2 = 2, then x3 =

Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Exponents Of Real Numbers

Solution 25

Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Exponents Of Real Numbers

Question 26

Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Exponents Of Real Numbers

Solution 26

Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Exponents Of Real Numbers

Chapter 2 - Exponents of Real Numbers Exercise 2.32

Question 27

Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Exponents Of Real Numbers

Solution 27

Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Exponents Of Real Numbers

Question 28

Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Exponents Of Real Numbers

 

Solution 28

Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Exponents Of Real Numbers

Question 29

Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Exponents Of Real Numbers

Solution 29

Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Exponents Of Real Numbers

Question 30

Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Exponents Of Real Numbers

Solution 30

Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Exponents Of Real Numbers

Question 31

Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Exponents Of Real Numbers

Solution 31

Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Exponents Of Real Numbers

Question 32

Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Exponents Of Real Numbers

Solution 32

Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Exponents Of Real Numbers

Question 33

If (16)2x+3 = (64)x+3, then 42x-2 =

(a) 64

(b) 256

(c) 32

(d) 512

Solution 33

Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Exponents Of Real Numbers

Question 34

Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Exponents Of Real Numbers

Solution 34

Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Exponents Of Real Numbers

Question 35

Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Exponents Of Real Numbers

Solution 35

Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Exponents Of Real Numbers

Question 36

Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Exponents Of Real Numbers

Solution 36

Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Exponents Of Real Numbers

Chapter 2 - Exponents of Real Numbers Exercise 2.33

Question 37

Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Exponents Of Real Numbers

Solution 37

Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Exponents Of Real Numbers

Question 38

Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Exponents Of Real Numbers

Solution 38

Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Exponents Of Real Numbers

Question 39

Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Exponents Of Real Numbers

Solution 39

Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Exponents Of Real Numbers

Question 40

Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Exponents Of Real Numbers

Solution 40

Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Exponents Of Real Numbers