What is 500e^{-0.1*100} ?

The solution to 500e^{-0.1*100} is (500)/(e^{10)}

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simplify 500e^{-0.1*100}

simplify

500 e^{- 0.1 \cdot 100}

\frac{500}{e ^{10}}

Decimal Notation

0.02269 \dots

Solution steps

500 e^{- 0.1 \cdot 100}

Apply exponent rule:

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

= 500 \cdot \frac{1}{e ^{100 \cdot 0.1}}

Multiply the numbers:

0.1 \cdot 100 = 10

= 500 \cdot \frac{1}{e ^{10}}

Multiply fractions:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

= \frac{1 \cdot 500}{e ^{10}}

Multiply the numbers:

1 \cdot 500 = 500

= \frac{500}{e ^{10}}

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