What is 400e^{-0.032(8)} ?

The solution to 400e^{-0.032(8)} is 309.65678…

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simplify 400e^{-0.032(8)}

simplify

400 e^{- 0.032 (8)}

309.65678 \dots

Solution steps

400 e^{- 0.032 (8)}

Apply exponent rule:

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

= 400 \cdot \frac{1}{e ^{8 \cdot 0.032}}

Multiply the numbers:

0.032 \cdot 8 = 0.256

= 400 \cdot \frac{1}{e ^{0.256}}

Multiply fractions:

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

= \frac{1 \cdot 400}{e ^{0.256}}

Multiply the numbers:

1 \cdot 400 = 400

= \frac{400}{e ^{0.256}}

e^{0.256} = 1.29175 \dots

= \frac{400}{1.29175 \dots}

Divide the numbers:

\frac{400}{1.29175 \dots} = 309.65678 \dots

= 309.65678 \dots

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