What is ((x^{-4})^{1/5})^{1/6} ?

The solution to ((x^{-4})^{1/5})^{1/6} is 1/(x^{2/15)}

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simplify ((x^{-4})^{1/5})^{1/6}

simplify

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

\frac{1}{x ^{\frac{2}{15}}}

Solution steps

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

(x^{- 4})^{\frac{1}{5}} : x^{- \frac{4}{5}}

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

Apply exponent rule:

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

assuming

a \geq 0

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

(- \frac{4}{5}) \frac{1}{6} = - \frac{2}{15}

= x^{- \frac{2}{15}}

Apply exponent rule:

a^{- b} = \frac{1}{a ^{b}}

= \frac{1}{x ^{\frac{2}{15}}}

4 x (x^{0.2} y)

x^{2} (x + 1)^{2} (2 x^{2} + 2 x - 1)

- 1.4 e^{- 0.007 \cdot 100}

x \cdot \frac{1}{x} + 1

0.6 \cdot 1 \cdot 2 \frac{1.2 \cdot 1 \cdot 9.81}{9.81}

What is ((x^{-4})^{1/5})^{1/6} ?
The solution to ((x^{-4})^{1/5})^{1/6} is 1/(x^{2/15)}