What is simplify ((-27}{64})^{\frac{-1)/3} ?

The solution to simplify ((-27}{64})^{\frac{-1)/3} is -4/3

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Evaluate (-27/64)^(-1/3)

simplify

(\frac{- 27}{64})^{\frac{- 1}{3}}

- \frac{4}{3}

Decimal Notation

- 1.33333 \dots

Solution steps

(\frac{- 27}{64})^{\frac{- 1}{3}}

Apply exponent rule:

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

= \frac{( - 27 ) ^{\frac{- 1}{3}}}{6 4 ^{\frac{- 1}{3}}}

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

= \frac{- \frac{1}{3}}{6 4 ^{\frac{- 1}{3}}}

6 4^{\frac{- 1}{3}} = \frac{1}{4}

= \frac{- \frac{1}{3}}{\frac{1}{4}}

\frac{- \frac{1}{3}}{\frac{1}{4}} = - \frac{4}{3}

= - \frac{4}{3}

x, ∣ 2 x - 3 ∣ = - 1

14/5 \frac{5}{6}

x, ∣ x + 3 ∣ = 10

72 x^{2} - 2

m, - 2 m + 11 m + m + 11 = - 19

What is simplify ((-27}{64})^{\frac{-1)/3} ?
The solution to simplify ((-27}{64})^{\frac{-1)/3} is -4/3