What is 2000e^{-0.04*10} ?

The solution to 2000e^{-0.04*10} is 1340.64009…

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simplify 2000e^{-0.04*10}

simplify

2000 e^{- 0.04 \cdot 10}

1340.64009 \dots

Solution steps

2000 e^{- 0.04 \cdot 10}

Apply exponent rule:

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

= 2000 \cdot \frac{1}{e ^{10 \cdot 0.04}}

Multiply the numbers:

0.04 \cdot 10 = 0.4

= 2000 \cdot \frac{1}{e ^{0.4}}

Multiply fractions:

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

= \frac{1 \cdot 2000}{e ^{0.4}}

Multiply the numbers:

1 \cdot 2000 = 2000

= \frac{2000}{e ^{0.4}}

e^{0.4} = 1.49182 \dots

= \frac{2000}{1.49182 \dots}

Divide the numbers:

\frac{2000}{1.49182 \dots} = 1340.64009 \dots

= 1340.64009 \dots

\frac{d}{d t} ((x (t, w)) (t e^{- wt}))

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

e^{- x \cdot 0}

0.4 \cdot 6.4

e^{- 1.762116}