What is 400e^{-0.032(6)} ?

The solution to 400e^{-0.032(6)} is 330.12274…

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simplify 400e^{-0.032(6)}

simplify

400 e^{- 0.032 (6)}

330.12274 \dots

Solution steps

400 e^{- 0.032 (6)}

Apply exponent rule:

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

= 400 \cdot \frac{1}{e ^{6 \cdot 0.032}}

Multiply the numbers:

0.032 \cdot 6 = 0.192

= 400 \cdot \frac{1}{e ^{0.192}}

Multiply fractions:

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

= \frac{1 \cdot 400}{e ^{0.192}}

Multiply the numbers:

1 \cdot 400 = 400

= \frac{400}{e ^{0.192}}

e^{0.192} = 1.21167 \dots

= \frac{400}{1.21167 \dots}

Divide the numbers:

\frac{400}{1.21167 \dots} = 330.12274 \dots

= 330.12274 \dots

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