What is \sqrt[11]{x^7}\sqrt[5]{x^3} ?

The solution to \sqrt[11]{x^7}\sqrt[5]{x^3} is x^{68/55}

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simplify \sqrt[11]{x^7}\sqrt[5]{x^3}

simplify

x^{\frac{68}{55}}

Solution steps

= x^{\frac{7}{11}} x^{\frac{3}{5}}

Apply exponent rule:

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

x^{\frac{7}{11}} x^{\frac{3}{5}} = x^{\frac{7}{11} + \frac{3}{5}}

= x^{\frac{7}{11} + \frac{3}{5}}

Join

\frac{7}{11} + \frac{3}{5} : \frac{68}{55}

= x^{\frac{68}{55}}

(\frac{6}{7})^{3} \cdot (\frac{6}{7})^{8}

5.5 \cdot 1 0^{- 4}

5.5 \cdot 1 0^{- 7}

\frac{7 x}{3 y}

What is \sqrt[11]{x^7}\sqrt[5]{x^3} ?
The solution to \sqrt[11]{x^7}\sqrt[5]{x^3} is x^{68/55}