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

Answer:

$x^\frac{5}{3} y^\frac{1}{3}$

Step-by-step explanation:

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

To find out the equivalent expression we use exponential rule

$\sqrt[n]{x^a} =x^\frac{a}{n}$

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

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

So equivalent expression is

$x^\frac{5}{3} y^\frac{1}{3}$