What is 200e^{-0.005(140)} ?

The solution to 200e^{-0.005(140)} is 99.31706…

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simplify 200e^{-0.005(140)}

simplify

200 e^{- 0.005 (140)}

99.31706 \dots

Solution steps

200 e^{- 0.005 (140)}

Apply exponent rule:

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

= 200 \cdot \frac{1}{e ^{140 \cdot 0.005}}

Multiply the numbers:

0.005 \cdot 140 = 0.7

= 200 \cdot \frac{1}{e ^{0.7}}

Multiply fractions:

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

= \frac{1 \cdot 200}{e ^{0.7}}

Multiply the numbers:

1 \cdot 200 = 200

= \frac{200}{e ^{0.7}}

e^{0.7} = 2.01375 \dots

= \frac{200}{2.01375 \dots}

Divide the numbers:

\frac{200}{2.01375 \dots} = 99.31706 \dots

= 99.31706 \dots

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