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Popular >

simplify 1/5 e^{-5(1/5)}

Solution

simplify

\frac{1}{5} e^{- 5 (\frac{1}{5})}

Solution

\frac{1}{5 e}

+1

Decimal Notation

0.07357 \dots

Solution steps

\frac{1}{5} e^{- 5 (\frac{1}{5})}

Apply exponent rule:

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

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

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

= \frac{1}{5} \cdot \frac{1}{e}

Multiply fractions:

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

= \frac{1 \cdot 1}{5 e}

Multiply the numbers:

1 \cdot 1 = 1

= \frac{1}{5 e}

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Frequently Asked Questions (FAQ)

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