Question

What is the simplest radical form of the expression?

(x^3y^4)^2/3
the 3 in the answer are small 3 on top of the square roots.

A. x^2y^2 3√y^2
B. xy^2 3√x^2
C. x^4y^6√x
D. x^4y^3√y

Answer 1

i think it is B but i do not know fro sure

Answer 2

A.
`x^(2) y^(2) \sqrt[3]{y^2}`

Explanation:

`(x^(3) y^(4) )^{(2)/(3) }`

By expansion, the equation =
`x^{(6)/(3) } y^{(8)/(3) }`

=
`x^(2) y^{(8)/(3) }`

Therefore, the equation =
`x^(2) y^(2) \sqrt[3]{y^2}`