What is \sqrt[7]{x^3+5x^2+8x-9}^3 ?

The solution to \sqrt[7]{x^3+5x^2+8x-9}^3 is (x^3+5x^2+8x-9)^{3/7}

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simplify \sqrt[7]{x^3+5x^2+8x-9}^3

simplify

(x^{3} + 5 x^{2} + 8 x - 9)^{\frac{3}{7}}

Solution steps

Apply radical rule:

= ((x^{3} + 5 x^{2} + 8 x - 9)^{\frac{1}{7}})^{3}

Apply exponent rule:

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

= (x^{3} + 5 x^{2} + 8 x - 9)^{\frac{1}{7} \cdot 3}

\frac{1}{7} \cdot 3 = \frac{3}{7}

= (x^{3} + 5 x^{2} + 8 x - 9)^{\frac{3}{7}}

25 \cdot x^{- 0.8}

x^{- \frac{4}{3} = 16}

\frac{17}{2} e^{- 3}

\frac{2 1 ^{8.4}}{2 0 ^{8.4}}

e^{- 3 x} \cdot e^{2 x}

What is \sqrt[7]{x^3+5x^2+8x-9}^3 ?
The solution to \sqrt[7]{x^3+5x^2+8x-9}^3 is (x^3+5x^2+8x-9)^{3/7}