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Popular >

simplify 100e^{-0.000462}

Solution

simplify

100 e^{- 0.000462}

Solution

99.95381 \dots

Solution steps

100 e^{- 0.000462}

Apply exponent rule:

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

= 100 \cdot \frac{1}{e ^{0.000462}}

Multiply fractions:

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

= \frac{1 \cdot 100}{e ^{0.000462}}

Multiply the numbers:

1 \cdot 100 = 100

= \frac{100}{e ^{0.000462}}

e^{0.000462} = 1.00046 \dots

= \frac{100}{1.00046 \dots}

Divide the numbers:

\frac{100}{1.00046 \dots} = 99.95381 \dots

= 99.95381 \dots

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Frequently Asked Questions (FAQ)

What is 100e^{-0.000462} ?
The solution to 100e^{-0.000462} is 99.95381…