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Popular >

simplify 100e^{-0.1}

Solution

simplify

100 e^{- 0.1}

Solution

90.48374 \dots

Solution steps

100 e^{- 0.1}

Apply exponent rule:

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

= 100 \cdot \frac{1}{e ^{0.1}}

Multiply fractions:

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

= \frac{1 \cdot 100}{e ^{0.1}}

Multiply the numbers:

1 \cdot 100 = 100

= \frac{100}{e ^{0.1}}

e^{0.1} = 1.10517 \dots

= \frac{100}{1.10517 \dots}

Divide the numbers:

\frac{100}{1.10517 \dots} = 90.48374 \dots

= 90.48374 \dots

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Frequently Asked Questions (FAQ)

What is 100e^{-0.1} ?
The solution to 100e^{-0.1} is 90.48374…