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Popular >

simplify 1000e^{-0.2(5)}

Solution

simplify

1000 e^{- 0.2 (5)}

Solution

\frac{1000}{e}

+1

Decimal Notation

367.87944 \dots

Solution steps

1000 e^{- 0.2 (5)}

Apply exponent rule:

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

= 1000 \cdot \frac{1}{e ^{5 \cdot 0.2}}

e^{0.2 \cdot 5} = e

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

Multiply fractions:

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

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

Multiply the numbers:

1 \cdot 1000 = 1000

= \frac{1000}{e}

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Frequently Asked Questions (FAQ)

What is 1000e^{-0.2(5)} ?
The solution to 1000e^{-0.2(5)} is (1000)/e