Question

Rewrite without rational exponents, and simplify, if possible.. (x^4y^4) ^1/3

Answer 1

That would become (XY)^4/3 . The exponent is still rational. Sorry.

Answer 2

$\left(x^4y^4\right)^\frac{1}{3}=x^{4\cdot\frac{1}{3}}y^{4\cdot\frac{1}{3}}=x^\frac{4}{3}y^\frac{4}{3}=x^{1\frac{1}{3}}y^{1\frac{1}{3}}=x^{1+\frac{1}{3}}y^{1+\frac{1}{3}}=x^1x^\frac{1}{3}y^1y^\frac{1}{3}\\\\=x\sqrt[3]{x}\cdot y\sqrt[3]y=xy\sqrt[3]{xy}$