What is 400e^{-0.0244(57)} ?

The solution to 400e^{-0.0244(57)} is 99.55044…

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simplify 400e^{-0.0244(57)}

simplify

400 e^{- 0.0244 (57)}

99.55044 \dots

Solution steps

400 e^{- 0.0244 (57)}

Apply exponent rule:

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

= 400 \cdot \frac{1}{e ^{57 \cdot 0.0244}}

Multiply the numbers:

0.0244 \cdot 57 = 1.3908

= 400 \cdot \frac{1}{e ^{1.3908}}

Multiply fractions:

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

= \frac{1 \cdot 400}{e ^{1.3908}}

Multiply the numbers:

1 \cdot 400 = 400

= \frac{400}{e ^{1.3908}}

e^{1.3908} = 4.01806 \dots

= \frac{400}{4.01806 \dots}

Divide the numbers:

\frac{400}{4.01806 \dots} = 99.55044 \dots

= 99.55044 \dots

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