By the Laws of Exponents, we know that a^m × b^m=(ab)^m=(a × b)^m 2^m× 3^m=(6)^m=(2 × 3)^m ...

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Exponent of a Product

2^m× 3^m is e...

Question

$2^{m} \times 3^{m}$ is equal to

(6)^{m}

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(6)^{2 m}

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(2 \times 3)^{m}

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(2 \times 3)^{2 m}

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Solution

The correct options are
A $(6)^{m}$
C $(2 \times 3)^{m}$
By the Laws of Exponents, we know that $a^{m} \times b^{m} = (a b)^{m} = (a \times b)^{m}$
$⟹ 2^{m} \times 3^{m} = (6)^{m} = (2 \times 3)^{m}$

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2^{m} \times 3^{m}

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