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}}

e^{- \frac{5}{2}}

x^{3} (x - 1)^{3}

(8.99 \cdot 1 0^{9}) \cdot (6.7 \cdot 1 0^{- 6}) \cdot (6.7 \cdot 1 0^{- 6})

\frac{s ^{2}}{( s ^{2} + 4 ) ^{2}}

0.5 a^{2} (1 + a x)^{- \frac{3}{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}