What is (e^{-10})/(e^{-30)} ?

The solution to (e^{-10})/(e^{-30)} is e^{20}

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simplify (e^{-10})/(e^{-30)}

simplify

\frac{e ^{- 10}}{e ^{- 30}}

e^{20}

Decimal Notation

485165195.40978 \dots

Solution steps

\frac{e ^{- 10}}{e ^{- 30}}

Apply exponent rule:

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

= e^{- 10 - (- 30)}

Apply rule

- (- a) = a

= e^{- 10 + 30}

Add/Subtract the numbers:

- 10 + 30 = 20

= e^{20}

e^{2 x} \cdot 2 e^{x}

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e^{- \frac{2}{5} x} (- \frac{2}{5} x e^{- \frac{2}{5} x} + e^{- \frac{2}{5} x})

(sin^{2} (x))^{\frac{3}{2}}

(400 \cdot 1 0^{- 3}) (0.6 \cdot 1 0^{6})^{2}