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)^(1)/(3)=x^{4\cdot(1)/(3)}y^{4\cdot(1)/(3)}=x^(4)/(3)y^(4)/(3)=x^{1(1)/(3)}y^{1(1)/(3)}=x^{1+(1)/(3)}y^{1+(1)/(3)}=x^1x^(1)/(3)y^1y^(1)/(3)\\\\=x\sqrt[3]{x}\cdot y\sqrt[3]y=xy\sqrt[3]{xy}`