What is ((2e^{-4})/6)^{-3} ?

The solution to ((2e^{-4})/6)^{-3} is 27e^{12}

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simplify ((2e^{-4})/6)^{-3}

simplify

(\frac{2 e ^{- 4}}{6})^{- 3}

27 e^{12}

Decimal Notation

4394379.36831 \dots

Solution steps

(\frac{2 e ^{- 4}}{6})^{- 3}

Apply exponent rule:

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

= \frac{1}{( \frac{2 e ^{- 4}}{6} ) ^{3}}

(\frac{2 e ^{- 4}}{6})^{3} = \frac{1}{3 ^{3} e ^{12}}

= \frac{1}{\frac{1}{3 ^{3} e ^{12}}}

Apply the fraction rule:

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

= \frac{e ^{12} \cdot 3 ^{3}}{1}

Apply rule

\frac{a}{1} = a

= 3^{3} e^{12}

3^{3} = 27

= 27 e^{12}

3.28 \cdot 1 0^{- 12}

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