What is ((4w^{-1}c^4)^{-5})/(5c^{-3)} ?

The solution to ((4w^{-1}c^4)^{-5})/(5c^{-3)} is (w^5)/(5120c^{17)}

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simplify ((4w^{-1}c^4)^{-5})/(5c^{-3)}

simplify

\frac{( 4 w ^{- 1} c ^{4} ) ^{- 5}}{5 c ^{- 3}}

\frac{w ^{5}}{5120 c ^{17}}

Solution steps

\frac{( 4 w ^{- 1} c ^{4} ) ^{- 5}}{5 c ^{- 3}}

Simplify

(4 w^{- 1} c^{4})^{- 5} : \frac{w ^{5}}{1024 c ^{20}}

= \frac{\frac{w ^{5}}{1024 c ^{20}}}{5 c ^{- 3}}

Apply the fraction rule:

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

= \frac{w ^{5}}{1024 c ^{20} \cdot 5 c ^{- 3}}

Simplify

1024 c^{20} \cdot 5 c^{- 3} : 5120 c^{17}

= \frac{w ^{5}}{5120 c ^{17}}

1 - \frac{4}{9} a^{8}

\frac{9}{2} - \frac{7}{16}

\frac{1 5 ^{4}}{3 ^{6}}

4 \cdot \frac{2}{2}

9 - 36 x

What is ((4w^{-1}c^4)^{-5})/(5c^{-3)} ?
The solution to ((4w^{-1}c^4)^{-5})/(5c^{-3)} is (w^5)/(5120c^{17)}