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Applied Mathematics

Question

For any two non-zero rational numbers $$z, (z^{-2})^{3} $$ is equal to

A

$$z^{1}$$

B

$$z^{4}$$

C

$$z^{-6}$$

D

$$z^{6}$$

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Solution

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Correct option is B. $$z^{-6}$$
Using law of exponents, $$(a^m)^n =(a)^{mn}$$
Therefore, $$(z^{-2})^3 =(z)^{-2\times 3}=(z)^{-6}$$

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