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Popular >

simplify 1-(1-e^{-10/8})

Solution

simplify

1 - (1 - e^{- \frac{10}{8}})

Solution

\frac{1}{e ^{\frac{5}{4}}}

+1

Decimal Notation

0.28650 \dots

Solution steps

1 - (1 - e^{- \frac{10}{8}})

e^{- \frac{10}{8}} = \frac{1}{e ^{\frac{5}{4}}}

= 1 - (- \frac{1}{e ^{\frac{5}{4}}} + 1)

- (1 - \frac{1}{e ^{\frac{5}{4}}}) : - 1 + \frac{1}{e ^{\frac{5}{4}}}

= 1 - 1 + \frac{1}{e ^{\frac{5}{4}}}

1 - 1 = 0

= \frac{1}{e ^{\frac{5}{4}}}

Popular Examples

2 x^{2} + 5 x + 11 = 0

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\frac{1}{\frac{1}{27} + \frac{1}{35} + \frac{1}{52} + \frac{1}{53} + \frac{1}{60}}

\frac{x + 1}{x - 5} < 3

Frequently Asked Questions (FAQ)

What is 1-(1-e^{-10/8}) ?
The solution to 1-(1-e^{-10/8}) is 1/(e^{5/4)}