Which of the following expresses power law of exponents?

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

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a^{m} \times b^{m} = (a b)^{m}

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

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a^{0} = 1

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Solution

The correct option is A $(a^{m})^{n} = a^{m n}$
The power law states that to raise a power to a power, just multiply the exponents.
$∴ (a^{m})^{n} = a^{m \times n}$
$= a^{m n}$
So, option $A$ is correct.

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