Question

Divide and simplify (x^4 y^4)/(root(3)(x^2 y))

Answer 1

ok... so you need index notation for the denominator

\[(x^2y)^{\frac{1}{3}}\]

which becomes

\[x^{\frac{2}{3}}y^{\frac{1}{3}}\]

so now you can use the index law for division of the same base, subtract the powers

the problem now looks like

\[\frac{x^4y^4}{x^{\frac{2}{3}}y^{\frac{1}{3}}}\]

hope it helps

Answer 2

Thank you! how would the answer look like ?

Answer 3

well it starts by

\[x^{\frac{10}{3}}y^{\frac{11}{3}} = (x^{10}y^{11})^{\frac{1}{3}} = \sqrt[3]{x^{10}y^{11}}\]