What is e^{-6}*((6^1)/(1!)) ?

The solution to e^{-6}*((6^1)/(1!)) is 6/(e^6)

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simplify e^{-6}*((6^1)/(1!))

simplify

e^{- 6} \cdot (\frac{6 ^{1}}{1 !})

\frac{6}{e ^{6}}

Decimal Notation

0.01487 \dots

Solution steps

e^{- 6} (\frac{6 ^{1}}{1 !})

Apply exponent rule:

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

= \frac{1}{e ^{6}} \cdot \frac{6 ^{1}}{1 !}

Apply rule

a^{1} = a

6^{1} = 6

= \frac{6}{1 !} \cdot \frac{1}{e ^{6}}

Multiply fractions:

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

= \frac{1 \cdot 6}{e ^{6} \cdot 1 !}

Multiply the numbers:

1 \cdot 6 = 6

= \frac{6}{e ^{6} \cdot 1 !}

e^{6} \cdot 1! = e^{6}

= \frac{6}{e ^{6}}

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