Question

Which expression is equivalent to 3sqrtx^5y?

A)x^(5/3)y
B)x^(5/3)y^(1/3)
C)x^3/5y
D)x^3/5y^3

Answer 1

Answer: B!

Explanation:

Answer 2

The correct option is B.

Explanation:

The given expression is

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

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

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

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

Therefore option B is correct.