simplify (1/e)^{-5}

Solution

simplify

(\frac{1}{e})^{- 5}

e^{5}

Decimal Notation

148.41315 \dots

Solution steps

(\frac{1}{e})^{- 5}

Apply exponent rule:

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

= \frac{1}{( \frac{1}{e} ) ^{5}}

(\frac{1}{e})^{5} = \frac{1}{e ^{5}}

= \frac{1}{\frac{1}{e ^{5}}}

Apply the fraction rule:

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

= \frac{e ^{5}}{1}

Apply rule

\frac{a}{1} = a

= e^{5}

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