Answer
$16x^4$
Work Step by Step
In this problem, we are raising a power to a power. This means that we multiply the exponents; however, the power outside of the parentheses applies to both the $8$ and the $x^3$ terms. First, we want to rewrite $8$ as a smaller base raised to a power:
$(-2^3)^{4/3}(x^3)^{4/3})$
Let's rewrite the expression:
$(-2^{3 • 4/3})(x^{3 • 4/3})$
Let's multiply the fractions:
$(-2^{12/3})(x^{12/3})$
Simplify the fractions:
$(-2^{4})(x^{4})$
Evaluate the exponents:
$16x^4$
