What is 200*e^{-0.086*30} ?

The solution to 200*e^{-0.086*30} is 15.15480…

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simplify 200e^{-0.08630}

simplify

200 \cdot e^{- 0.086 \cdot 30}

15.15480 \dots

Solution steps

200 e^{- 0.086 \cdot 30}

Apply exponent rule:

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

= 200 \cdot \frac{1}{e ^{30 \cdot 0.086}}

Multiply the numbers:

0.086 \cdot 30 = 2.58

= 200 \cdot \frac{1}{e ^{2.58}}

Multiply fractions:

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

= \frac{1 \cdot 200}{e ^{2.58}}

Multiply the numbers:

1 \cdot 200 = 200

= \frac{200}{e ^{2.58}}

e^{2.58} = 13.19713 \dots

= \frac{200}{13.19713 \dots}

Divide the numbers:

\frac{200}{13.19713 \dots} = 15.15480 \dots

= 15.15480 \dots

e^{- 1} \cdot ln (e^{- 1})

4.9 \cdot 1 0^{- 7}

(5 x^{3} y^{4}) (20 x^{7} y^{8})

14 e^{- 0.02 (8)} \cdot (- 0.02)

4.9 \cdot 1 0^{- 4}