Question

simplify the expression. assume all variables represent positive real numbers. (sqrt8{\frac{m}{n^{8}}}) select the correct choice below and fill in any answer boxes in your choice. a. (sqrt8{\frac{m}{n^{8}}}=) (simplify your answer. type an exact answer, using radicals as needed.) b. the expression cannot be simplified.

Explanation:

Step1: Use root - fraction rule

$\sqrt[8]{\frac{m}{n^{8}}}=\frac{\sqrt[8]{m}}{\sqrt[8]{n^{8}}}$

Step2: Simplify $\sqrt[8]{n^{8}}$

Since $n$ is a positive real number, $\sqrt[8]{n^{8}} = n$

Answer:

A. $\frac{\sqrt[8]{m}}{n}$