What is (-27x^{27})^{-1/3} ?

The solution to (-27x^{27})^{-1/3} is -1/(3x^9)

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simplify (-27x^{27})^{-1/3}

simplify

(- 27 x^{27})^{- \frac{1}{3}}

- \frac{1}{3 x ^{9}}

Solution steps

(- 27 x^{27})^{- \frac{1}{3}}

Apply exponent rule:

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

(- 27 x^{27})^{- \frac{1}{3}} = \frac{1}{( - 27 x ^{27} ) ^{\frac{1}{3}}}

= \frac{1}{( - 27 x ^{27} ) ^{\frac{1}{3}}}

Simplify

(- 27 x^{27})^{\frac{1}{3}} : - 3 x^{9}

= \frac{1}{- 3 x ^{9}}

Apply the fraction rule:

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

= - \frac{1}{3 x ^{9}}

\frac{4}{5} - \frac{5}{3}

(9 x^{- 2} y^{3} z^{- 4})^{2}

- 4 x \cdot 2 x

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

3 \frac{1}{10}