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Question

If x be any integer different from zero and m,n be any integer, then (xm)n is equal to:


A

xm+n

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B

xmn

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C

xmn

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D

xm-n

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Solution

The correct option is B

xmn


Explanation for correct option:

Find the value of the given exponent

By the law of exponents,

(zm)n=zmn

where m,n can be both integer as well as non-integer number.

Thus, we need to multiply the powers of the number to get the result.

∴(xm)n=xmn

For example, 1326=132×6=1312

Hence, option(B), xmn is the correct answer.


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