What is (\sqrt[7]{9x-5x^4})^6 ?

The solution to (\sqrt[7]{9x-5x^4})^6 is (-5x^4+9x)^{6/7}

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simplify (\sqrt[7]{9x-5x^4})^6

simplify

(- 5 x^{4} + 9 x)^{\frac{6}{7}}

Solution steps

Apply radical rule:

= ((9 x - 5 x^{4})^{\frac{1}{7}})^{6}

Apply exponent rule:

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

= (9 x - 5 x^{4})^{\frac{1}{7} \cdot 6}

\frac{1}{7} \cdot 6 = \frac{6}{7}

= (9 x - 5 x^{4})^{\frac{6}{7}}

= (- 5 x^{4} + 9 x)^{\frac{6}{7}}

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What is (\sqrt[7]{9x-5x^4})^6 ?
The solution to (\sqrt[7]{9x-5x^4})^6 is (-5x^4+9x)^{6/7}