What is (\sqrt[7]{x^2})/(\sqrt[5]{y^3)} ?

The solution to (\sqrt[7]{x^2})/(\sqrt[5]{y^3)} is (y^{2/5}\sqrt[7]{x^2})/y

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simplify (\sqrt[7]{x^2})/(\sqrt[5]{y^3)}

simplify

Solution steps

Multiply by the conjugate

\frac{( y ^{3} ) ^{\frac{4}{5}}}{( y ^{3} ) ^{\frac{4}{5}}}

Simplify

y^{\frac{12}{5}} = y^{2 + \frac{2}{5}}, y^{3} = y^{2 + 1}

Apply exponent rule:

a^{b + c} = a^{b} a^{c}

y^{2 + \frac{2}{5}} = y^{2} y^{\frac{2}{5}}, y^{2 + 1} = y^{2} y^{1}

Cancel the common factor:

y^{2}

\frac{3}{5} t = - 12

(6 v)^{2}

4 (- 3)^{3}

(6 x^{3} - 2 x^{2} + x - 3) - (8 x^{2} - x - 3)

ln (3 - x) \leq 1 + ln (x)

What is (\sqrt[7]{x^2})/(\sqrt[5]{y^3)} ?
The solution to (\sqrt[7]{x^2})/(\sqrt[5]{y^3)} is (y^{2/5}\sqrt[7]{x^2})/y