Question

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

Answer 1

`\sqrt[3]{x^(5)y} = x^{(5)/(3)}y^(1)/(3)`

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)^(1)/(3)`

Open bracket

`\sqrt[3]{x^(5)y} = x^{5*(1)/(3)}y^(1)/(3)`

`\sqrt[3]{x^(5)y} = x^{(5)/(3)}y^(1)/(3)`