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Popular >

simplify e^{-(0.002*100)}

Solution

simplify

e^{- (0.002 \cdot 100)}

Solution

0.81873 \dots

Solution steps

e^{- (0.002 \cdot 100)}

Apply exponent rule:

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

= \frac{1}{e ^{100 \cdot 0.002}}

Multiply the numbers:

0.002 \cdot 100 = 0.2

= \frac{1}{e ^{0.2}}

e^{0.2} = 1.22140 \dots

= \frac{1}{1.22140 \dots}

Divide the numbers:

\frac{1}{1.22140 \dots} = 0.81873 \dots

= 0.81873 \dots

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Frequently Asked Questions (FAQ)

What is e^{-(0.002*100)} ?
The solution to e^{-(0.002*100)} is 0.81873…