What is 400e^{-0.0244(20)} ?

The solution to 400e^{-0.0244(20)} is 245.54114…

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simplify 400e^{-0.0244(20)}

simplify

400 e^{- 0.0244 (20)}

245.54114 \dots

Solution steps

400 e^{- 0.0244 (20)}

Apply exponent rule:

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

= 400 \cdot \frac{1}{e ^{20 \cdot 0.0244}}

Multiply the numbers:

0.0244 \cdot 20 = 0.488

= 400 \cdot \frac{1}{e ^{0.488}}

Multiply fractions:

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

= \frac{1 \cdot 400}{e ^{0.488}}

Multiply the numbers:

1 \cdot 400 = 400

= \frac{400}{e ^{0.488}}

e^{0.488} = 1.62905 \dots

= \frac{400}{1.62905 \dots}

Divide the numbers:

\frac{400}{1.62905 \dots} = 245.54114 \dots

= 245.54114 \dots

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