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Exponent of an Exponent

Question 31In...

Question

Question 31

In the following question, out of the four options, only one is correct. Write the correct answer.

For a non-zero rational number $z, (z^{- 2})^{3}$ is equal to:

(a) $z^{6}$

(b) $z^{- 6}$

(c) $z^{1}$

(d) $z^{4}$

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Solution

Using law of exponents , $(a^{m})^{n} = (a)^{m n}$
Similarly , $(z^{- 2})^{3} = (z)^{(- 2) \times 3} = (z)^{- 6}$

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Question 30

In the following question, out of the four options, only one is correct. Write the correct answer.

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