What is ((c^{-4})/(81d^8))^{3/4} ?

The solution to ((c^{-4})/(81d^8))^{3/4} is 1/(27c^3d^6)

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simplify ((c^{-4})/(81d^8))^{3/4}

simplify

(\frac{c ^{- 4}}{81 d ^{8}})^{\frac{3}{4}}

\frac{1}{27 c ^{3} d ^{6}}

Solution steps

(\frac{c ^{- 4}}{81 d ^{8}})^{\frac{3}{4}}

Apply exponent rule:

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

= \frac{( c ^{- 4} ) ^{\frac{3}{4}}}{( 81 d ^{8} ) ^{\frac{3}{4}}}

Simplify

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

= \frac{\frac{1}{c ^{3}}}{( 81 d ^{8} ) ^{\frac{3}{4}}}

Simplify

(81 d^{8})^{\frac{3}{4}} : 27 d^{6}

= \frac{\frac{1}{c ^{3}}}{27 d ^{6}}

Apply the fraction rule:

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

= \frac{1}{27 c ^{3} d ^{6}}

1020 n^{4}

5 \cdot 36

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3 - 3 cos (θ) + \frac{3}{2} sec (θ)

What is ((c^{-4})/(81d^8))^{3/4} ?
The solution to ((c^{-4})/(81d^8))^{3/4} is 1/(27c^3d^6)