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^{- 2 x} (3 e^{3 x})

3.515 \cdot 1 0^{- 8} \cdot (27 - 10)

e^{- \frac{116.69 \cdot 10.053}{2.344 \cdot 1.007}}

\frac{e ^{x^{2}}}{e ^{l n (x^{2})}}

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