What is ((m^{-5}p^{-4})^{-3})/((-4m^6p^3)^3) ?

The solution to ((m^{-5}p^{-4})^{-3})/((-4m^6p^3)^3) is -(p^3)/(64m^3)

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simplify ((m^{-5}p^{-4})^{-3})/((-4m^6p^3)^3)

simplify

\frac{( m ^{- 5} p ^{- 4} ) ^{- 3}}{( - 4 m ^{6} p ^{3} ) ^{3}}

- \frac{p ^{3}}{64 m ^{3}}

Solution steps

\frac{( m ^{- 5} p ^{- 4} ) ^{- 3}}{( - 4 m ^{6} p ^{3} ) ^{3}}

Simplify

(- 4 m^{6} p^{3})^{3} : - 64 m^{18} p^{9}

= \frac{( m ^{- 5} p ^{- 4} ) ^{- 3}}{- 64 m ^{18} p ^{9}}

Simplify

(m^{- 5} p^{- 4})^{- 3} : m^{15} p^{12}

= \frac{m ^{15} p ^{12}}{- 64 m ^{18} p ^{9}}

Simplify

\frac{m ^{15}}{m ^{18}} : \frac{1}{m ^{3}}

= \frac{p ^{12}}{- 64 m ^{3} p ^{9}}

Simplify

\frac{p ^{12}}{p ^{9}} : p^{3}

= \frac{p ^{3}}{- 64 m ^{3}}

Apply the fraction rule:

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

= - \frac{p ^{3}}{64 m ^{3}}

2 \div \frac{4}{5}

4 (x - 3)

- \frac{3}{2}

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

2 π 10

What is ((m^{-5}p^{-4})^{-3})/((-4m^6p^3)^3) ?
The solution to ((m^{-5}p^{-4})^{-3})/((-4m^6p^3)^3) is -(p^3)/(64m^3)