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Popular >

simplify e^{-0.4*25}

Solution

simplify

e^{- 0.4 \cdot 25}

Solution

0.00004 \dots

Solution steps

e^{- 0.4 \cdot 25}

Apply exponent rule:

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

= \frac{1}{e ^{25 \cdot 0.4}}

Multiply the numbers:

0.4 \cdot 25 = 10

= \frac{1}{e ^{10}}

Convert element to a decimal form

e^{10} = 22026.46579 \dots

= \frac{1}{22026.46579 \dots}

Divide the numbers:

\frac{1}{22026.46579 \dots} = 0.00004 \dots

= 0.00004 \dots

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Frequently Asked Questions (FAQ)

What is e^{-0.4*25} ?
The solution to e^{-0.4*25} is 0.00004…