What is 10000*e^{-2*4} ?

The solution to 10000*e^{-2*4} is (10000)/(e^8)

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simplify 10000e^{-24}

simplify

10000 \cdot e^{- 2 \cdot 4}

\frac{10000}{e ^{8}}

Decimal Notation

3.35462 \dots

Solution steps

10000 e^{- 2 \cdot 4}

Apply exponent rule:

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

= 10000 \cdot \frac{1}{e ^{2 \cdot 4}}

Multiply the numbers:

2 \cdot 4 = 8

= 10000 \cdot \frac{1}{e ^{8}}

Multiply fractions:

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

= \frac{1 \cdot 10000}{e ^{8}}

Multiply the numbers:

1 \cdot 10000 = 10000

= \frac{10000}{e ^{8}}

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