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

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

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simplify (-3e^{-4})^{-3}

simplify

(- 3 e^{- 4})^{- 3}

- \frac{e ^{12}}{27}

Decimal Notation

- 6027.95523 \dots

Solution steps

(- 3 e^{- 4})^{- 3}

Apply exponent rule:

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

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

(- 3 e^{- 4})^{3} = - (3 e^{- 4})^{3}

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

Apply the fraction rule:

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

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

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

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

Apply the fraction rule:

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

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

3^{3} = 27

= - \frac{e ^{12}}{27}

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