What is (e^{-15/10})/(e^{-10/10)} ?

The solution to (e^{-15/10})/(e^{-10/10)} is 1/(e^{1/2)}

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simplify (e^{-15/10})/(e^{-10/10)}

simplify

\frac{e ^{- \frac{15}{10}}}{e ^{- \frac{10}{10}}}

\frac{1}{e ^{\frac{1}{2}}}

Decimal Notation

0.60653 \dots

Solution steps

\frac{e ^{- \frac{15}{10}}}{e ^{- \frac{10}{10}}}

Apply exponent rule:

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

= e^{- \frac{15}{10} - (- \frac{10}{10})}

Apply rule

\frac{a}{a} = 1

\frac{10}{10} = 1

= e^{- \frac{15}{10} - (- 1)}

Apply rule

- (- a) = a

= e^{- \frac{15}{10} + 1}

Cancel

\frac{15}{10} : \frac{3}{2}

= e^{- \frac{3}{2} + 1}

Join

- \frac{3}{2} + 1 : - \frac{1}{2}

= e^{- \frac{1}{2}}

Apply exponent rule:

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

= \frac{1}{e ^{\frac{1}{2}}}

\frac{0.44 1 ^{2}}{0.62 6 ^{2}}

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What is (e^{-15/10})/(e^{-10/10)} ?
The solution to (e^{-15/10})/(e^{-10/10)} is 1/(e^{1/2)}