Question

write the expression as a radical expression. assume the variable is positive.
$(-25a)^{\frac{4}{3}}$
enter the correct expression in the box.
show hints

Explanation:

Step1: Apply exponent to radical rule

Recall $x^{\frac{m}{n}} = \sqrt[n]{x^m}$. So:
$$(-25a)^{\frac{4}{5}} = \sqrt[5]{(-25a)^4}$$

Step2: Simplify the radicand

Since the exponent 4 is even, $(-25a)^4=(25a)^4$:
$$\sqrt[5]{(25a)^4}$$

Answer:

$\sqrt[5]{(25a)^4}$