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Popular >

simplify (1/7)e^{-7(1/7)}

Solution

simplify

(\frac{1}{7}) e^{- 7 (\frac{1}{7})}

Solution

\frac{1}{7 e}

+1

Decimal Notation

0.05255 \dots

Solution steps

(\frac{1}{7}) e^{- 7 (\frac{1}{7})}

Apply exponent rule:

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

= \frac{1}{7} \cdot \frac{1}{e ^{7 \cdot \frac{1}{7}}}

\frac{1}{e ^{7 \cdot \frac{1}{7}}} = \frac{1}{e}

= \frac{1}{7} \cdot \frac{1}{e}

Multiply fractions:

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

= \frac{1 \cdot 1}{7 e}

Multiply the numbers:

1 \cdot 1 = 1

= \frac{1}{7 e}

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Frequently Asked Questions (FAQ)

What is (1/7)e^{-7(1/7)} ?
The solution to (1/7)e^{-7(1/7)} is 1/(7e)