What is $(x^3y)^(1/4)$ in radical form?

Question

2274 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2016-08-01T18:56:55

$(x^3y)^(1/4) = root4(x^3y)$

One of the laws on indices states:

$sqrtx = x^(1/2)$

It applies to any root. $root3x = x^(1/3)$ etc...

$(x^3y)^(1/4) = root4(x^3y)$

This can't be simplified.

What is (x^3y)^(1/4)(x^3y)^(1/4) in radical form?