What is 400e^{-0.0244(40)} ?

The solution to 400e^{-0.0244(40)} is 150.72613…

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simplify 400e^{-0.0244(40)}

simplify

400 e^{- 0.0244 (40)}

150.72613 \dots

Solution steps

400 e^{- 0.0244 (40)}

Apply exponent rule:

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

= 400 \cdot \frac{1}{e ^{40 \cdot 0.0244}}

Multiply the numbers:

0.0244 \cdot 40 = 0.976

= 400 \cdot \frac{1}{e ^{0.976}}

Multiply fractions:

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

= \frac{1 \cdot 400}{e ^{0.976}}

Multiply the numbers:

1 \cdot 400 = 400

= \frac{400}{e ^{0.976}}

e^{0.976} = 2.65381 \dots

= \frac{400}{2.65381 \dots}

Divide the numbers:

\frac{400}{2.65381 \dots} = 150.72613 \dots

= 150.72613 \dots

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