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

The solution to e^{-(-4)/5} is e^{4/5}

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

simplify

e^{- \frac{- 4}{5}}

e^{\frac{4}{5}}

Decimal Notation

2.22554 \dots

Solution steps

e^{- \frac{- 4}{5}}

Apply exponent rule:

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

= \frac{1}{e ^{\frac{- 4}{5}}}

Apply the fraction rule:

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

= \frac{1}{e ^{- \frac{4}{5}}}

Apply exponent rule:

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

e^{- \frac{4}{5}} = \frac{1}{e ^{\frac{4}{5}}}

= \frac{1}{\frac{1}{e ^{\frac{4}{5}}}}

Apply the fraction rule:

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

= \frac{e ^{\frac{4}{5}}}{1}

Apply the fraction rule:

\frac{a}{1} = a

= e^{\frac{4}{5}}

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