Question

Which expression is equivalent to 3/x5y?

A. x5/3y
B. x5/3y1/3
C. x3/5y
D. x3/5y3

Answer 1

X^5/3Y^1/3 the correct answer is answer (B.) on edgenity

Answer 2

Option B is correct

`x^{(5)/(3)} \cdot y^{(1)/(3)}`

Explanation:

Using the radical rule:

`(ab)^{(1)/(m) = a^{(1)/(m)} \cdot b^{(1)/(m)}`

Given the expression:

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

we can write this as:

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

Apply the radical rules:

`x^{(5)/(3)} \cdot y^{(1)/(3)}`

Therefore, the expression which is equivalent to
`\sqrt[3]{x^5y}` is,
`x^{(5)/(3)} \cdot y^{(1)/(3)}`