What is (-64)^{(-1)/3} ?

The solution to (-64)^{(-1)/3} is -1/4

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simplify (-64)^{(-1)/3}

simplify

(- 64)^{\frac{- 1}{3}}

- \frac{1}{4}

Decimal Notation

- 0.25

Solution steps

(- 64)^{\frac{- 1}{3}}

Apply the fraction rule:

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

\frac{- 1}{3} = - \frac{1}{3}

= (- 64)^{- \frac{1}{3}}

Apply exponent rule:

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

(- 64)^{- \frac{1}{3}} = \frac{1}{( - 64 ) ^{\frac{1}{3}}}

= \frac{1}{( - 64 ) ^{\frac{1}{3}}}

(- 64)^{\frac{1}{3}} = - 4

= \frac{1}{- 4}

Apply the fraction rule:

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

= - \frac{1}{4}

6 x + 15 = 6 x + 15

\frac{1}{3} \cdot 9

\frac{b - 1.6}{4} = - 3

x^{2} + 10 x - 12 = 0

∣ 4 x - 2 ∣ = 11