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Popular >

simplify 100e^{-0.005(200)}

Solution

simplify

100 e^{- 0.005 (200)}

Solution

\frac{100}{e}

+1

Decimal Notation

36.78794 \dots

Solution steps

100 e^{- 0.005 (200)}

Apply exponent rule:

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

= 100 \cdot \frac{1}{e ^{200 \cdot 0.005}}

e^{0.005 \cdot 200} = e

= 100 \cdot \frac{1}{e}

Multiply fractions:

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

= \frac{1 \cdot 100}{e}

Multiply the numbers:

1 \cdot 100 = 100

= \frac{100}{e}

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Frequently Asked Questions (FAQ)

What is 100e^{-0.005(200)} ?
The solution to 100e^{-0.005(200)} is (100)/e