What is ((2m)/(3n))^{-3} ?

The solution to ((2m)/(3n))^{-3} is (27n^3)/(8m^3)

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simplify ((2m)/(3n))^{-3}

simplify

(\frac{2 m}{3 n})^{- 3}

\frac{27 n ^{3}}{8 m ^{3}}

Solution steps

(\frac{2 m}{3 n})^{- 3}

Apply exponent rule:

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

(\frac{2 m}{3 n})^{- 3} = \frac{1}{( \frac{2 m}{3 n} ) ^{3}}

= \frac{1}{( \frac{2 m}{3 n} ) ^{3}}

Simplify

(\frac{2 m}{3 n})^{3} : \frac{8 m ^{3}}{27 n ^{3}}

= \frac{1}{\frac{8 m ^{3}}{27 n ^{3}}}

Apply the fraction rule:

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

= \frac{27 n ^{3}}{8 m ^{3}}

- 2 x + 6 < x - 6

2 x^{3} - x^{2} - 25 x - 12

K^{2} - 3 K - 28

\frac{2 x - 10}{3} - \frac{3 ( x - 12 )}{4} = - 1

\frac{1}{8} x^{3} - \frac{1}{27} y^{3}