What is 400e^{-0.032(3)} ?

The solution to 400e^{-0.032(3)} is 363.38560…

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simplify 400e^{-0.032(3)}

simplify

400 e^{- 0.032 (3)}

363.38560 \dots

Solution steps

400 e^{- 0.032 (3)}

Apply exponent rule:

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

= 400 \cdot \frac{1}{e ^{3 \cdot 0.032}}

Multiply the numbers:

0.032 \cdot 3 = 0.096

= 400 \cdot \frac{1}{e ^{0.096}}

Multiply fractions:

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

= \frac{1 \cdot 400}{e ^{0.096}}

Multiply the numbers:

1 \cdot 400 = 400

= \frac{400}{e ^{0.096}}

e^{0.096} = 1.10075 \dots

= \frac{400}{1.10075 \dots}

Divide the numbers:

\frac{400}{1.10075 \dots} = 363.38560 \dots

= 363.38560 \dots

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e^{- \frac{1}{2} t}