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Popular >

simplify 100*e^{-3.64}

Solution

simplify

100 \cdot e^{- 3.64}

Solution

2.62523 \dots

Solution steps

100 e^{- 3.64}

Apply exponent rule:

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

= 100 \cdot \frac{1}{e ^{3.64}}

Multiply fractions:

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

= \frac{1 \cdot 100}{e ^{3.64}}

Multiply the numbers:

1 \cdot 100 = 100

= \frac{100}{e ^{3.64}}

e^{3.64} = 38.09183 \dots

= \frac{100}{38.09183 \dots}

Divide the numbers:

\frac{100}{38.09183 \dots} = 2.62523 \dots

= 2.62523 \dots

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Frequently Asked Questions (FAQ)

What is 100*e^{-3.64} ?
The solution to 100*e^{-3.64} is 2.62523…