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

The solution to ((8a^3}{27*x^{-3}})^{\frac{-1)/3} is 3/(2ax)

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

simplify

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

\frac{3}{2 a x}

Solution steps

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

Apply exponent rule:

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

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

Simplify

(8 a^{3})^{\frac{- 1}{3}} : \frac{1}{2 a}

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

Simplify

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

= \frac{\frac{1}{2 a}}{\frac{x}{3}}

Simplify

\frac{\frac{1}{2 a}}{\frac{x}{3}} : \frac{3}{2 a x}

= \frac{3}{2 a x}

(1.5 y + 0.5)^{2}

p \cdot q^{2} - p^{2} \cdot q^{3} - 2 p^{3} \cdot q^{5} \cdot r + p^{2} \cdot q^{3} \cdot r^{2}

6 x^{3} + 3 x^{2} - 5 x + 1

\frac{ln ( 1 )}{x ^{2}}

(5 x - 8 y)^{3}

What is ((8a^3}{27*x^{-3}})^{\frac{-1)/3} ?
The solution to ((8a^3}{27*x^{-3}})^{\frac{-1)/3} is 3/(2ax)