A perfect cube is a number that can be expressed as the cube of an integer. In other words, a number is a perfect cube if its cube root is an integer.

Example	Rewrite as a Product	Perfect Cube?	Explanation
$125$	$5\times 5\times 5=5^3$	Yes $✓$	$5$ is an integer.
$166.375$	$5.5\times 5.5\times 5.5=5.5^3$	No $\times$	$5.5$ is not an integer.
$64$	$4\times 4\times 4=4^3$	Yes $✓$	$4$ is an integer.
$270$	$3\sqrt[3]{10}\times 3\sqrt[3]{10}\times 3\sqrt[3]{10}=(3\sqrt[3]{10}{)}^3$	No $\times$	$3\sqrt[3]{10}$ is not an integer.

Similarly, if a variable has an exponent that is a multiple of $3,$ it is still considered a perfect cube. This is because this condition guarantees that the variable can be rewritten as the product of three identical powers with integer exponents.