Question

expression and assume that X, y, and z denote any positive real numbers

Answer 1

a) given equation is,

$\begin{gathered} \sqrt[8]{x^8y^4z^{4\:}} \\ =\sqrt[8]{x^8}\sqrt[8]{y^4z^4} \\ =x\sqrt[8]{y^4z^4} \end{gathered}$

b) the given equation is

$\begin{gathered} \sqrt[3]{\sqrt{64x^6}} \\ =\sqrt[3]{8x^3} \\ =2\sqrt[3]{x^3} \\ =2x \end{gathered}$