What is ((3de^{-1})/(12ne^2f))^{-3} ?

The solution to ((3de^{-1})/(12ne^2f))^{-3} is (64e^9n^3f^3)/(d^3)

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simplify ((3de^{-1})/(12ne^2f))^{-3}

simplify

(\frac{3 d e ^{- 1}}{12 n e ^{2} f})^{- 3}

\frac{64 e ^{9} n ^{3} f ^{3}}{d ^{3}}

Solution steps

(\frac{3 d e ^{- 1}}{12 n e ^{2} f})^{- 3}

Apply exponent rule:

a^{- b} = \frac{1}{a ^{b}}

= \frac{1}{( \frac{3 d e ^{- 1}}{12 n e ^{2} f} ) ^{3}}

(\frac{3 d e ^{- 1}}{12 n e ^{2} f})^{3} = \frac{d ^{3}}{4 ^{3} e ^{9} n ^{3} f ^{3}}

= \frac{1}{\frac{d ^{3}}{4 ^{3} e ^{9} n ^{3} f ^{3}}}

Apply the fraction rule:

\frac{1}{\frac{b}{c}} = \frac{c}{b}

= \frac{4 ^{3} e ^{9} n ^{3} f ^{3}}{d ^{3}}

4^{3} = 64

= \frac{64 e ^{9} n ^{3} f ^{3}}{d ^{3}}

e^{- 0.65} \cdot 0.6 5^{0} \cdot \frac{1}{0 !}

(2.3 x 1 0^{1}) (7 x 1 0^{6})

(e^{y} + 1)^{2} e^{- y} d x

(5 x) (4 x^{3})

e^{- \frac{9}{8}}

What is ((3de^{-1})/(12ne^2f))^{-3} ?
The solution to ((3de^{-1})/(12ne^2f))^{-3} is (64e^9n^3f^3)/(d^3)