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Popular >

simplify e^{-0.001*2302.6}

Solution

simplify

e^{- 0.001 \cdot 2302.6}

Solution

0.09999 \dots

Solution steps

e^{- 0.001 \cdot 2302.6}

Apply exponent rule:

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

= \frac{1}{e ^{0.001 \cdot 2302.6}}

Multiply the numbers:

0.001 \cdot 2302.6 = 2.3026

= \frac{1}{e ^{2.3026}}

e^{2.3026} = 10.00014 \dots

= \frac{1}{10.00014 \dots}

Divide the numbers:

\frac{1}{10.00014 \dots} = 0.09999 \dots

= 0.09999 \dots

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Frequently Asked Questions (FAQ)

What is e^{-0.001*2302.6} ?
The solution to e^{-0.001*2302.6} is 0.09999…