Question

$(x^{15})^{\frac{5}{3}}$

Explanation:

Step1: Apply exponent power rule

Recall the rule $(x^a)^b = x^{a \times b}$. Here, $a=15$ and $b=\frac{5}{3}$.
$$(x^{15})^{\frac{5}{3}} = x^{15 \times \frac{5}{3}}$$

Step2: Calculate the exponent

Multiply $15$ by $\frac{5}{3}$.
$$15 \times \frac{5}{3} = 5 \times 5 = 25$$

Answer:

$x^{25}$