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

The solution to (\sqrt[3]{x^2})/(\sqrt[5]{x^2)} is x^{4/15}

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

simplify

x^{\frac{4}{15}}

Solution steps

Apply radical rule:

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

Apply exponent rule:

\frac{x ^{a}}{x ^{b}} = x^{a - b}

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

Join

\frac{1}{3} - \frac{1}{5} : \frac{2}{15}

= (x^{2})^{\frac{2}{15}}

Apply exponent rule:

(a^{b})^{c} = a^{b c},

assuming

a \geq 0

= x^{2 \cdot \frac{2}{15}}

2 \cdot \frac{2}{15} = \frac{4}{15}

= x^{\frac{4}{15}}

(3. 1^{- 3}) (50. 1^{6})

100 (2.5)^{- 0.22 (2.5)}

x x + y

1.8 \cdot 1 0^{- 5} \cdot 0.71142

What is (\sqrt[3]{x^2})/(\sqrt[5]{x^2)} ?
The solution to (\sqrt[3]{x^2})/(\sqrt[5]{x^2)} is x^{4/15}