What is e^{-((-1))/(100/10)} ?

The solution to e^{-((-1))/(100/10)} is e^{1/10}

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simplify e^{-((-1))/(100/10)}

simplify

e^{- \frac{( - 1 )}{\frac{100}{10}}}

e^{\frac{1}{10}}

Decimal Notation

1.10517 \dots

Solution steps

e^{- \frac{( - 1 )}{\frac{100}{10}}}

Apply exponent rule:

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

= \frac{1}{e ^{\frac{- 1}{\frac{100}{10}}}}

\frac{- 1}{\frac{100}{10}} = - \frac{10}{100}

= \frac{1}{e ^{- \frac{10}{100}}}

e^{- \frac{10}{100}} = e^{- \frac{1}{10}}

= \frac{1}{e ^{- \frac{1}{10}}}

Apply exponent rule:

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

e^{- \frac{1}{10}} = \frac{1}{e ^{\frac{1}{10}}}

= \frac{1}{\frac{1}{e ^{\frac{1}{10}}}}

Apply the fraction rule:

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

= \frac{e ^{\frac{1}{10}}}{1}

Apply the fraction rule:

\frac{a}{1} = a

= e^{\frac{1}{10}}

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