What is \sqrt[7]{x^2}\sqrt[5]{x^3} ?

The solution to \sqrt[7]{x^2}\sqrt[5]{x^3} is x^{31/35}

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simplify \sqrt[7]{x^2}\sqrt[5]{x^3}

simplify

x^{\frac{31}{35}}

Solution steps

= x^{\frac{2}{7}} x^{\frac{3}{5}}

Apply exponent rule:

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

x^{\frac{2}{7}} x^{\frac{3}{5}} = x^{\frac{2}{7} + \frac{3}{5}}

= x^{\frac{2}{7} + \frac{3}{5}}

Join

\frac{2}{7} + \frac{3}{5} : \frac{31}{35}

= x^{\frac{31}{35}}

4 x e^{- x^{2}}

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\frac{a + b}{a - b}

(\frac{9}{8})^{2^{^{'}}}

K (K - 1)^{2} (K - 2)^{2}

What is \sqrt[7]{x^2}\sqrt[5]{x^3} ?
The solution to \sqrt[7]{x^2}\sqrt[5]{x^3} is x^{31/35}