What is ((3c^3)/(e^5))^{-4} ?

The solution to ((3c^3)/(e^5))^{-4} is (e^{20})/(81c^{12)}

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simplify ((3c^3)/(e^5))^{-4}

simplify

(\frac{3 c ^{3}}{e ^{5}})^{- 4}

\frac{e ^{20}}{81 c ^{12}}

Solution steps

(\frac{3 c ^{3}}{e ^{5}})^{- 4}

Apply exponent rule:

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

= \frac{1}{( \frac{3 c ^{3}}{e ^{5}} ) ^{4}}

(\frac{3 c ^{3}}{e ^{5}})^{4} = \frac{3 ^{4} c ^{12}}{e ^{20}}

= \frac{1}{\frac{3 ^{4} c ^{12}}{e ^{20}}}

Apply the fraction rule:

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

= \frac{e ^{20}}{3 ^{4} c ^{12}}

3^{4} = 81

= \frac{e ^{20}}{81 c ^{12}}

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

\frac{1}{2} (8.85 \cdot 1 0^{- 12}) (4500)^{2} \cdot 1 0^{6}

e^{- 3094}

1 0^{- 10} \cdot 1500 \cdot 6.21

What is ((3c^3)/(e^5))^{-4} ?
The solution to ((3c^3)/(e^5))^{-4} is (e^{20})/(81c^{12)}