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Popular >

simplify ((4c^{-5})/(8d^0))^3

Solution

simplify

(\frac{4 c ^{- 5}}{8 d ^{0}})^{3}

Solution

\frac{1}{8 c ^{15}}

Solution steps

(\frac{4 c ^{- 5}}{8 d ^{0}})^{3}

Apply exponent rule:

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

= \frac{( 4 c ^{- 5} ) ^{3}}{( 8 d ^{0} ) ^{3}}

Simplify

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

= \frac{\frac{64}{c ^{15}}}{( 8 d ^{0} ) ^{3}}

Simplify

(8 d^{0})^{3} : 512

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

Simplify

\frac{\frac{64}{c ^{15}}}{512} : \frac{1}{8 c ^{15}}

= \frac{1}{8 c ^{15}}

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Frequently Asked Questions (FAQ)

What is ((4c^{-5})/(8d^0))^3 ?
The solution to ((4c^{-5})/(8d^0))^3 is 1/(8c^{15)}