Question

$(x^{90})^{\frac{3}{10}}$

Explanation:

Step1: Apply exponent power rule

Recall the rule $(x^a)^b = x^{a \times b}$. For our expression, $a=90$ and $b=\frac{3}{10}$.
$$(x^{90})^{\frac{3}{10}} = x^{90 \times \frac{3}{10}}$$

Step2: Calculate the new exponent

Multiply 90 by $\frac{3}{10}$:
$$90 \times \frac{3}{10} = 9 \times 3 = 27$$

Answer:

$x^{27}$