What is 100e^{-5(0.4)} ?

The solution to 100e^{-5(0.4)} is (100)/(e^2)

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simplify 100e^{-5(0.4)}

simplify

100 e^{- 5 (0.4)}

\frac{100}{e ^{2}}

Decimal Notation

13.53352 \dots

Solution steps

100 e^{- 5 (0.4)}

Apply exponent rule:

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

= 100 \cdot \frac{1}{e ^{5 \cdot 0.4}}

Multiply the numbers:

5 \cdot 0.4 = 2

= 100 \cdot \frac{1}{e ^{2}}

Multiply fractions:

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

= \frac{1 \cdot 100}{e ^{2}}

Multiply the numbers:

1 \cdot 100 = 100

= \frac{100}{e ^{2}}

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