What is simplify-30x^3+54x^2-24x^{1/6}x^1 ?

The solution to simplify-30x^3+54x^2-24x^{1/6}x^1 is -30x^3+54x^2-24x^{7/6}

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simplify-30x^3+54x^2-24x^{1/6}x^1

simplify

- 30 x^{3} + 54 x^{2} - 24 x^{\frac{1}{6}} x^{1}

- 30 x^{3} + 54 x^{2} - 24 x^{\frac{7}{6}}

Solution steps

- 30 x^{3} + 54 x^{2} - 24 x^{\frac{1}{6}} x^{1}

Apply exponent rule:

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

x^{\frac{1}{6}} x^{1} = x^{\frac{1}{6} + 1}

= - 30 x^{3} + 54 x^{2} - 24 x^{\frac{1}{6} + 1}

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

= - 30 x^{3} + 54 x^{2} - 24 x^{\frac{7}{6}}

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(x - 2) (x^{2} - 2 x + 4) (x^{2} + 2 x + 4) (x + 2) + 64

(- 5 a^{3} b^{6})^{3}

\frac{3}{x} + 1 + \frac{5}{x} - 2

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What is simplify-30x^3+54x^2-24x^{1/6}x^1 ?
The solution to simplify-30x^3+54x^2-24x^{1/6}x^1 is -30x^3+54x^2-24x^{7/6}