What is (e^{-6}*6^{10})/(10!) ?

The solution to (e^{-6}*6^{10})/(10!) is (2916)/(175e^6)

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simplify (e^{-6}*6^{10})/(10!)

simplify

\frac{e ^{- 6} \cdot 6 ^{10}}{10 !}

\frac{2916}{175 e ^{6}}

Solution steps

\frac{e ^{- 6} \cdot 6 ^{10}}{10 !}

Multiply

e^{- 6} \cdot 6^{10} : \frac{60466176}{e ^{6}}

= \frac{\frac{60466176}{e ^{6}}}{10 !}

Apply the fraction rule:

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

= \frac{60466176}{e ^{6} \cdot 10 !}

e^{6} \cdot 10! = 3628800 e^{6}

= \frac{60466176}{3628800 e ^{6}}

Cancel the common factor:

20736

= \frac{2916}{175 e ^{6}}

(3 x^{2} - 2 x) (2 x^{2} + 3 x - 1)

\frac{9}{2 d - 4 f} + \frac{7}{8 f - 4 d}

\frac{x + 7}{x ^{2} + 4 x - 21}

9 \cdot 9 \cdot 9 \cdot 9 \cdot 9

(0.5 x - 3)^{2}

What is (e^{-6}*6^{10})/(10!) ?
The solution to (e^{-6}*6^{10})/(10!) is (2916)/(175e^6)