Question

Which expression is equivalent to cube root x^5y?

x^5/3 y
x^5/3 y^1/3
x^3/5 y
x^3/5 y^3

Answer 1

the answer is x^5/3y^1/3

Answer 2

`x^(5)/(3) y^(1)/(3)`

Explanation:

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

To find out the equivalent expression we use exponential rule

`\sqrt[n]{x^a} =x^(a)/(n)`

we write the exponent is fraction form. Move the radical to the denominator of the exponent. radical must be written in fraction form.

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

So equivalent expression is

`x^(5)/(3) y^(1)/(3)`