What is 400e^{-(0.086*33)} ?

The solution to 400e^{-(0.086*33)} is 23.41705…

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simplify 400e^{-(0.086*33)}

simplify

400 e^{- (0.086 \cdot 33)}

23.41705 \dots

Solution steps

400 e^{- (0.086 \cdot 33)}

Apply exponent rule:

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

= 400 \cdot \frac{1}{e ^{33 \cdot 0.086}}

Multiply the numbers:

0.086 \cdot 33 = 2.838

= 400 \cdot \frac{1}{e ^{2.838}}

Multiply fractions:

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

= \frac{1 \cdot 400}{e ^{2.838}}

Multiply the numbers:

1 \cdot 400 = 400

= \frac{400}{e ^{2.838}}

e^{2.838} = 17.08156 \dots

= \frac{400}{17.08156 \dots}

Divide the numbers:

\frac{400}{17.08156 \dots} = 23.41705 \dots

= 23.41705 \dots

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