$(a^{m})^{n} =$ _____

a^{m + n}

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m n \times a

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a^{m n}

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a^{m - n}

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Solution

The correct option is C $a^{m n}$
For any non-zero integer 'a',
$(a^{m})^{n} = a^{m n}$ , where m and n are integers.
For example, $(2^{2})^{- 3} = (2)^{2 \times - 3} = (2)^{- 6}$

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a^{m} \times a^{n} =

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$a^{m} \times a^{n}$ is equal to

(a) $(a^{2})^{m n}$
(b) $a^{m - n}$
(c) $a^{m + n}$
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