What is 1000*e^{-0.1*2} ?

The solution to 1000*e^{-0.1*2} is 818.73075…

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simplify 1000e^{-0.12}

simplify

1000 \cdot e^{- 0.1 \cdot 2}

818.73075 \dots

Solution steps

1000 e^{- 0.1 \cdot 2}

Apply exponent rule:

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

= 1000 \cdot \frac{1}{e ^{2 \cdot 0.1}}

Multiply the numbers:

0.1 \cdot 2 = 0.2

= 1000 \cdot \frac{1}{e ^{0.2}}

Multiply fractions:

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

= \frac{1 \cdot 1000}{e ^{0.2}}

Multiply the numbers:

1 \cdot 1000 = 1000

= \frac{1000}{e ^{0.2}}

e^{0.2} = 1.22140 \dots

= \frac{1000}{1.22140 \dots}

Divide the numbers:

\frac{1000}{1.22140 \dots} = 818.73075 \dots

= 818.73075 \dots

\frac{e ^{n}}{e ^{2 n}}

20 e^{- \frac{t}{0.004}}

\frac{6}{5} e^{- 20 x}

y z

500 e^{- 2.411 x 1 0^{4}}