What is ((4c^{-5})/(8d^{-2)})^3 ?

The solution to ((4c^{-5})/(8d^{-2)})^3 is (d^6)/(8c^{15)}

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simplify ((4c^{-5})/(8d^{-2)})^3

simplify

(\frac{4 c ^{- 5}}{8 d ^{- 2}})^{3}

\frac{d ^{6}}{8 c ^{15}}

Solution steps

(\frac{4 c ^{- 5}}{8 d ^{- 2}})^{3}

Apply exponent rule:

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

= \frac{( 4 c ^{- 5} ) ^{3}}{( 8 d ^{- 2} ) ^{3}}

Simplify

(4 c^{- 5})^{3} : \frac{64}{c ^{15}}

= \frac{\frac{64}{c ^{15}}}{( 8 d ^{- 2} ) ^{3}}

Simplify

(8 d^{- 2})^{3} : \frac{512}{d ^{6}}

= \frac{\frac{64}{c ^{15}}}{\frac{512}{d ^{6}}}

Simplify

\frac{\frac{64}{c ^{15}}}{\frac{512}{d ^{6}}} : \frac{d ^{6}}{8 c ^{15}}

= \frac{d ^{6}}{8 c ^{15}}

- 36 - 254

5 x^{2} + 13 x + 6

1 - (\frac{5}{6})^{3}

- 4 x - x^{2}

4 x^{2} + 9 x - 28

What is ((4c^{-5})/(8d^{-2)})^3 ?
The solution to ((4c^{-5})/(8d^{-2)})^3 is (d^6)/(8c^{15)}