What is 2000e^{-0.2(30)} ?

The solution to 2000e^{-0.2(30)} is (2000)/(e^6)

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simplify 2000e^{-0.2(30)}

simplify

2000 e^{- 0.2 (30)}

\frac{2000}{e ^{6}}

Decimal Notation

4.95750 \dots

Solution steps

2000 e^{- 0.2 (30)}

Apply exponent rule:

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

= 2000 \cdot \frac{1}{e ^{30 \cdot 0.2}}

Multiply the numbers:

0.2 \cdot 30 = 6

= 2000 \cdot \frac{1}{e ^{6}}

Multiply fractions:

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

= \frac{1 \cdot 2000}{e ^{6}}

Multiply the numbers:

1 \cdot 2000 = 2000

= \frac{2000}{e ^{6}}

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