What is (15r^6c^{-8})/((3r^{-3)c)^{-5}} ?

The solution to (15r^6c^{-8})/((3r^{-3)c)^{-5}} is (3645)/(r^9c^3)

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simplify (15r^6c^{-8})/((3r^{-3)c)^{-5}}

simplify

\frac{15 r ^{6} c ^{- 8}}{( 3 r ^{- 3} c ) ^{- 5}}

\frac{3645}{r ^{9} c ^{3}}

Solution steps

\frac{15 r ^{6} c ^{- 8}}{( 3 r ^{- 3} c ) ^{- 5}}

Simplify

(3 r^{- 3} c)^{- 5} : 3^{- 5} r^{15} c^{- 5}

= \frac{15 r ^{6} c ^{- 8}}{3 ^{- 5} r ^{15} c ^{- 5}}

Factor the number:

15 = 3 \cdot 5

= \frac{3 \cdot 5 r ^{6} c ^{- 8}}{3 ^{- 5} r ^{15} c ^{- 5}}

\frac{3}{3 ^{- 5}} = 3^{6}

= \frac{3 ^{6} \cdot 5 r ^{6} c ^{- 8}}{r ^{15} c ^{- 5}}

Simplify

\frac{r ^{6}}{r ^{15}} : \frac{1}{r ^{9}}

= \frac{3 ^{6} \cdot 5 c ^{- 8}}{r ^{9} c ^{- 5}}

Simplify

\frac{c ^{- 8}}{c ^{- 5}} : \frac{1}{c ^{3}}

= \frac{3 ^{6} \cdot 5}{r ^{9} c ^{3}}

3^{6} \cdot 5 = 3645

= \frac{3645}{r ^{9} c ^{3}}

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What is (15r^6c^{-8})/((3r^{-3)c)^{-5}} ?
The solution to (15r^6c^{-8})/((3r^{-3)c)^{-5}} is (3645)/(r^9c^3)