What is ((8(a^3)/(27)x^{-3})^{-1})/3 ?

The solution to ((8(a^3)/(27)x^{-3})^{-1})/3 is (9x^3)/(8a^3)

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simplify ((8(a^3)/(27)x^{-3})^{-1})/3

simplify

\frac{( 8 \frac{a ^{3}}{27} x ^{- 3} ) ^{- 1}}{3}

\frac{9 x ^{3}}{8 a ^{3}}

Solution steps

\frac{( 8 \cdot \frac{a ^{3}}{27} x ^{- 3} ) ^{- 1}}{3}

Simplify

(8 \cdot \frac{a ^{3}}{27} x^{- 3})^{- 1} : \frac{27 x ^{3}}{8 a ^{3}}

= \frac{\frac{27 x ^{3}}{8 a ^{3}}}{3}

Apply the fraction rule:

\frac{\frac{a}{b}}{c} = \frac{a}{b \cdot c}

= \frac{27 x ^{3}}{8 a ^{3} \cdot 3}

Multiply the numbers:

8 \cdot 3 = 24

= \frac{27 x ^{3}}{24 a ^{3}}

Cancel

\frac{27 x ^{3}}{24 a ^{3}} : \frac{9 x ^{3}}{8 a ^{3}}

= \frac{9 x ^{3}}{8 a ^{3}}

250 x^{3} - 16 y^{3}

\frac{- 2 b}{a}

(4 x + 8 y)^{3}

\frac{( 14 x ^{7} \cdot y ^{4} \cdot z ^{7} )}{( 2 x ^{5} \cdot y ^{n} \cdot z ^{p} )}

a^{5} + a^{3} + 2 a^{2} + 2

What is ((8(a^3)/(27)x^{-3})^{-1})/3 ?
The solution to ((8(a^3)/(27)x^{-3})^{-1})/3 is (9x^3)/(8a^3)