Question

Which expression is equivalent to \root(3)(x^(5)y)

Answer 1

Answer:

$\sqrt[3]{x^{5}y} = x^{\frac{5}{3}}y^\frac{1}{3}$

Step-by-step explanation:

Given

$\sqrt[3]{x^{5}y}$

Required

The equivalent expression

We have:

$\sqrt[3]{x^{5}y}$

Rewrite as an exponent

$\sqrt[3]{x^{5}y} = (x^{5}y)^\frac{1}{3}$

Open bracket

$\sqrt[3]{x^{5}y} = x^{5*\frac{1}{3}}y^\frac{1}{3}$

$\sqrt[3]{x^{5}y} = x^{\frac{5}{3}}y^\frac{1}{3}$