What is 1000e^{-(0.1)2} ?

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

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simplify 1000e^{-(0.1)2}

simplify

1000 e^{- (0.1) 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

e^{- a t} sinh (a t)

n + 20 \cdot n + 10

25 sin (2 w) e^{- s t}

9.61 \cdot 1 0^{- 4}