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Popular >

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

Solution

simplify

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

Solution

\frac{1}{4 e}

+1

Decimal Notation

0.09196 \dots

Solution steps

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

Apply exponent rule:

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

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

\frac{1}{e ^{4 \cdot \frac{1}{4}}} = \frac{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(1/4)} ?
The solution to 1/4 e^{-4(1/4)} is 1/(4e)