What is 400e^{-0.08664(33)} ?

The solution to 400e^{-0.08664(33)} is 22.92767…

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simplify 400e^{-0.08664(33)}

simplify

400 e^{- 0.08664 (33)}

22.92767 \dots

Solution steps

400 e^{- 0.08664 (33)}

Apply exponent rule:

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

= 400 \cdot \frac{1}{e ^{33 \cdot 0.08664}}

Multiply the numbers:

0.08664 \cdot 33 = 2.85912

= 400 \cdot \frac{1}{e ^{2.85912}}

Multiply fractions:

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

= \frac{1 \cdot 400}{e ^{2.85912}}

Multiply the numbers:

1 \cdot 400 = 400

= \frac{400}{e ^{2.85912}}

e^{2.85912} = 17.44616 \dots

= \frac{400}{17.44616 \dots}

Divide the numbers:

\frac{400}{17.44616 \dots} = 22.92767 \dots

= 22.92767 \dots

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