Express the following as the product of exponents through prime factorization.
$288$

2^{5} \times 3^{2}

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2^{4} \times 3^{3}

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2^{4} \times 3^{4}

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2^{4} \times 3^{2}

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Solution

The correct option is B. $2^{5} \times 3^{2}$

Prime factorization of $288 = 2 \times 2 \times 2 \times 2 \times 2 \times 3 \times 3$
$= 2^{5} \times 3^{2}$
So, $A$ is the correct option.

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