What is (\sqrt[6]{x^8y^{10}})/(\sqrt[3]{xy^2)} ?

The solution to (\sqrt[6]{x^8y^{10}})/(\sqrt[3]{xy^2)} is xy

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simplify (\sqrt[6]{x^8y^{10}})/(\sqrt[3]{xy^2)}

simplify

x y

Solution steps

Apply radical rule:

= \frac{( x ^{8} y ^{10} ) ^{\frac{1}{6}}}{( x y ^{2} ) ^{\frac{1}{3}}}

Simplify

(x^{8} y^{10})^{\frac{1}{6}} : x^{\frac{4}{3}} y^{\frac{5}{3}}

= \frac{x ^{\frac{4}{3}} y ^{\frac{5}{3}}}{( x y ^{2} ) ^{\frac{1}{3}}}

Simplify

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

= \frac{x ^{\frac{4}{3}} y ^{\frac{5}{3}}}{x ^{\frac{1}{3}} y ^{\frac{2}{3}}}

Simplify

\frac{x ^{\frac{4}{3}}}{x ^{\frac{1}{3}}} : x

= \frac{x y ^{\frac{5}{3}}}{y ^{\frac{2}{3}}}

Simplify

\frac{y ^{\frac{5}{3}}}{y ^{\frac{2}{3}}} : y

= x y

- 3 (u + 4) + 34 \leq 5 (2 - u)

- 2 p + 18 > 2

x + 2 = x^{2}

14 n^{2} + 41 n + 15 = 0

2 x^{2} - 12 x - 65 = 45

What is (\sqrt[6]{x^8y^{10}})/(\sqrt[3]{xy^2)} ?
The solution to (\sqrt[6]{x^8y^{10}})/(\sqrt[3]{xy^2)} is xy