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Popular >

simplify e^{-((0.4)/9)*3.1416}

Solution

simplify

e^{- (\frac{0.4}{9}) \cdot 3.1416}

Solution

0.86968 \dots

Solution steps

e^{- (\frac{0.4}{9}) \cdot 3.1416}

Apply exponent rule:

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

= \frac{1}{e ^{3.1416 \cdot \frac{0.4}{9}}}

e^{\frac{0.4}{9} \cdot 3.1416} = e^{0.13962 \dots}

= \frac{1}{e ^{0.13962 \dots}}

e^{0.13962 \dots} = 1.14984 \dots

= \frac{1}{1.14984 \dots}

Divide the numbers:

\frac{1}{1.14984 \dots} = 0.86968 \dots

= 0.86968 \dots

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Frequently Asked Questions (FAQ)

What is e^{-((0.4)/9)*3.1416} ?
The solution to e^{-((0.4)/9)*3.1416} is 0.86968…