Question

simplify.
$left(w^{4}\
ight)^{\frac{5}{8}}$
write your answer without parentheses.
assume that the variable represents a positive real number.

Explanation:

Step1: Apply exponent power rule

Recall the rule $(a^m)^n = a^{m \times n}$. For $(w^4)^{\frac{5}{8}}$, multiply the exponents:
$4 \times \frac{5}{8} = \frac{20}{8}$

Step2: Simplify the exponent

Reduce the fraction $\frac{20}{8}$ to lowest terms:
$\frac{20}{8} = \frac{5}{2}$

Answer:

$w^{\frac{5}{2}}$