What is e^{-6}((6^{11})/(11!)) ?

The solution to e^{-6}((6^{11})/(11!)) is (17496)/(1925e^6)

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simplify e^{-6}((6^{11})/(11!))

simplify

e^{- 6} (\frac{6 ^{11}}{11 !})

\frac{17496}{1925 e ^{6}}

Decimal Notation

0.02252 \dots

Solution steps

e^{- 6} (\frac{6 ^{11}}{11 !})

Apply exponent rule:

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

= \frac{1}{e ^{6}} \cdot \frac{6 ^{11}}{11 !}

Multiply fractions:

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

= \frac{1 \cdot 6 ^{11}}{e ^{6} \cdot 11 !}

Multiply:

1 \cdot 6^{11} = 6^{11}

= \frac{6 ^{11}}{e ^{6} \cdot 11 !}

6^{11} = 362797056

= \frac{362797056}{e ^{6} \cdot 11 !}

e^{6} \cdot 11! = 39916800 e^{6}

= \frac{362797056}{39916800 e ^{6}}

Cancel the common factor:

20736

= \frac{17496}{1925 e ^{6}}

(x + 2 y)^{2} \cdot (x - 2 y)^{2}

79^{\frac{5}{2}}

(2 x^{2} - x)^{3}

(e^{x})^{2} d x

π (e^{- \frac{1}{5} x})

What is e^{-6}((6^{11})/(11!)) ?
The solution to e^{-6}((6^{11})/(11!)) is (17496)/(1925e^6)