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Popular >

simplify 50e^{-0.01(100)}

Solution

simplify

50 e^{- 0.01 (100)}

Solution

\frac{50}{e}

+1

Decimal Notation

18.39397 \dots

Solution steps

50 e^{- 0.01 (100)}

Apply exponent rule:

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

= 50 \cdot \frac{1}{e ^{100 \cdot 0.01}}

e^{0.01 \cdot 100} = e

= 50 \cdot \frac{1}{e}

Multiply fractions:

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

= \frac{1 \cdot 50}{e}

Multiply the numbers:

1 \cdot 50 = 50

= \frac{50}{e}

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Frequently Asked Questions (FAQ)

What is 50e^{-0.01(100)} ?
The solution to 50e^{-0.01(100)} is (50)/e