Write with radicals. Assume that all variables represent positive real numbers
-$\left(x^{8} y^{8}\right)^{1 / 3}$

A) $(\sqrt[3]{x y})^{8}$

B) $x^{24} y^{24}$

C) $\frac{1}{(\sqrt[3]{x y})^{8}}$

D) $(\sqrt[8]{x y})^{3}$

Question

Write with radicals. Assume that all variables represent positive real numbers
-$\left(x^{8} y^{8}\right)^{1 / 3}$

A) $(\sqrt[3]{x y})^{8}$

B) $x^{24} y^{24}$

C) $\frac{1}{(\sqrt[3]{x y})^{8}}$

D) $(\sqrt[8]{x y})^{3}$

Quizplus · Accepted Answer

Applying the power of a power rule, $(x^{8} y^{8})^{1/3} = x^{8 \cdot 1/3} y^{8 \cdot 1/3} = x^{8/3} y^{8/3} = (x y)^{8/3} = (\sqrt[3]{x y})^{8}$.

Write with Radicals (x8y8)1/3\left(x^{8} y^{8}\right)^{1 / 3}(x8y8)1/3 A) (xy3)8(\sqrt[3]{x y})^{8}(3xy​)8 B) x24y24x^{24} y^{24}x24y24