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

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, $\text{A}$ is the correct option.