What is (-27/125)^{(-2)/3} ?

The solution to (-27/125)^{(-2)/3} is 25/9

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simplify (-27/125)^{(-2)/3}

simplify

(- \frac{27}{125})^{\frac{- 2}{3}}

\frac{25}{9}

Decimal Notation

2.77777 \dots

Solution steps

(- \frac{27}{125})^{\frac{- 2}{3}}

Apply the fraction rule:

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

\frac{- 2}{3} = - \frac{2}{3}

= (- \frac{27}{125})^{- \frac{2}{3}}

Apply exponent rule:

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

(- \frac{27}{125})^{- \frac{2}{3}} = \frac{1}{( - \frac{27}{125} ) ^{\frac{2}{3}}}

= \frac{1}{( - \frac{27}{125} ) ^{\frac{2}{3}}}

(- \frac{27}{125})^{\frac{2}{3}} = (\frac{27}{125})^{\frac{2}{3}}

= \frac{1}{( \frac{27}{125} ) ^{\frac{2}{3}}}

(\frac{27}{125})^{\frac{2}{3}} = \frac{9}{25}

= \frac{1}{\frac{9}{25}}

Apply the fraction rule:

\frac{1}{\frac{b}{c}} = \frac{c}{b}

= \frac{25}{9}

c + 7 = 5 c - (3 + 4 c)

\frac{x}{12} + 3 \leq 7

∣ x + 7 ∣ \geq 2

(\frac{1}{7})^{- 4}

32 - 2