Q31 of 196 Page 249

Out of the four options, only one is correct. Write the correct answer.

For a non-zero rational number z, is equal to

By laws of exponent,


(xm)n = xmn


In this question,


m = -2


n = 3


∴ (xm)n = xmn


⇒ (z-2)3 = z-2×3


⇒ (z-2)3 = z-6


Hence, for a non-zero rational number z, (z-2)3 is equal to z-6.

More from this chapter

All 196 →
29

Out of the four options, only one is correct. Write the correct answer.

For any two non-zerorational numbers x and y, x4 ÷ y4 is equal to

 30

Out of the four options, only one is correct. Write the correct answer.

For a non-zero rational number p, p13 ÷ p8 is equal to

 32

Out of the four options, only one is correct. Write the correct answer.

Cube of is

 33

Out of the four options, only one is correct. Write the correct answer.

Which of the following is not the reciprocal of ?