Question

Simplify the expression. Assume that all variables are real numbers.

Answer 1

$\begin{gathered} \sqrt[8]{x^8y^{16}} \\ (x^8y^{16})^{\frac{1}{8}} \\ x^{8\ast\frac{1}{8}}y^{16\ast\frac{1}{8}} \\ xy^2 \\ \sqrt[8]{x^8y^{16}}=xy^2 \\ The\text{ simplification is xy}^2 \end{gathered}$