What is 800e^{-0.0244(40)} ?

The solution to 800e^{-0.0244(40)} is 301.45227…

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simplify 800e^{-0.0244(40)}

simplify

800 e^{- 0.0244 (40)}

301.45227 \dots

Solution steps

800 e^{- 0.0244 (40)}

Apply exponent rule:

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

= 800 \cdot \frac{1}{e ^{40 \cdot 0.0244}}

Multiply the numbers:

0.0244 \cdot 40 = 0.976

= 800 \cdot \frac{1}{e ^{0.976}}

Multiply fractions:

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

= \frac{1 \cdot 800}{e ^{0.976}}

Multiply the numbers:

1 \cdot 800 = 800

= \frac{800}{e ^{0.976}}

e^{0.976} = 2.65381 \dots

= \frac{800}{2.65381 \dots}

Divide the numbers:

\frac{800}{2.65381 \dots} = 301.45227 \dots

= 301.45227 \dots

e^{- 2 x} \cdot 4 e^{x}

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