What is 400e^{-0.0244(30)} ?

The solution to 400e^{-0.0244(30)} is 192.37845…

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simplify 400e^{-0.0244(30)}

simplify

400 e^{- 0.0244 (30)}

192.37845 \dots

Solution steps

400 e^{- 0.0244 (30)}

Apply exponent rule:

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

= 400 \cdot \frac{1}{e ^{30 \cdot 0.0244}}

Multiply the numbers:

0.0244 \cdot 30 = 0.732

= 400 \cdot \frac{1}{e ^{0.732}}

Multiply fractions:

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

= \frac{1 \cdot 400}{e ^{0.732}}

Multiply the numbers:

1 \cdot 400 = 400

= \frac{400}{e ^{0.732}}

e^{0.732} = 2.07923 \dots

= \frac{400}{2.07923 \dots}

Divide the numbers:

\frac{400}{2.07923 \dots} = 192.37845 \dots

= 192.37845 \dots

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