What is (e^{-20})/(e^{-5)} ?

The solution to (e^{-20})/(e^{-5)} is 1/(e^{15)}

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simplify (e^{-20})/(e^{-5)}

simplify

\frac{e ^{- 20}}{e ^{- 5}}

\frac{1}{e ^{15}}

Decimal Notation

3.05902 E - 7

Solution steps

\frac{e ^{- 20}}{e ^{- 5}}

Apply exponent rule:

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

= e^{- 20 - (- 5)}

Apply rule

- (- a) = a

= e^{- 20 + 5}

Add/Subtract the numbers:

- 20 + 5 = - 15

= e^{- 15}

Apply exponent rule:

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

= \frac{1}{e ^{15}}

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