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Popular >

simplify 1/4 e^{-4/4}

Solution

simplify

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

Solution

\frac{1}{4 e}

+1

Decimal Notation

0.09196 \dots

Solution steps

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

Apply exponent rule:

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

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

Apply rule

\frac{a}{a} = 1

\frac{4}{4} = 1

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

Apply rule

a^{1} = a

e^{1} = e

= \frac{1}{4} \cdot \frac{1}{e}

Multiply fractions:

\frac{a}{b} \cdot \frac{c}{d} = \frac{a \cdot c}{b \cdot d}

= \frac{1 \cdot 1}{4 e}

Multiply the numbers:

1 \cdot 1 = 1

= \frac{1}{4 e}

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Frequently Asked Questions (FAQ)

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