What is 400e^{-(0.086*17)} ?

The solution to 400e^{-(0.086*17)} is 92.70890…

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simplify 400e^{-(0.086*17)}

simplify

400 e^{- (0.086 \cdot 17)}

92.70890 \dots

Solution steps

400 e^{- (0.086 \cdot 17)}

Apply exponent rule:

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

= 400 \cdot \frac{1}{e ^{17 \cdot 0.086}}

Multiply the numbers:

0.086 \cdot 17 = 1.462

= 400 \cdot \frac{1}{e ^{1.462}}

Multiply fractions:

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

= \frac{1 \cdot 400}{e ^{1.462}}

Multiply the numbers:

1 \cdot 400 = 400

= \frac{400}{e ^{1.462}}

e^{1.462} = 4.31458 \dots

= \frac{400}{4.31458 \dots}

Divide the numbers:

\frac{400}{4.31458 \dots} = 92.70890 \dots

= 92.70890 \dots

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