If $a$ is a non-zero integer and $m$ and $n$ are any integers, then $a^{m} \times a^{n}$ = .

a^{m n}

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a^{m + n}

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a^{\frac{m}{n}}

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Solution

The correct option is B $a^{m + n}$
When two powers with the same base are multiplied, their exponents get added. This is called the product law.

$∴ a^{m} \times a^{n} = a^{m + n}$

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Question 159(ii)

Using law of exponents, $a^{m} \times a^{n} = a^{m + n}$ [ $∵$ a is non-zero integer]

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