What is (5^5e^{-5})/(5!) ?

The solution to (5^5e^{-5})/(5!) is (625)/(24e^5)

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

simplify

\frac{5 ^{5} e ^{- 5}}{5 !}

\frac{625}{24 e ^{5}}

Decimal Notation

0.17546 \dots

Solution steps

\frac{5 ^{5} e ^{- 5}}{5 !}

Multiply

5^{5} e^{- 5} : \frac{3125}{e ^{5}}

= \frac{\frac{3125}{e ^{5}}}{5 !}

Apply the fraction rule:

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

= \frac{3125}{e ^{5} \cdot 5 !}

e^{5} \cdot 5! = 120 e^{5}

= \frac{3125}{120 e ^{5}}

Cancel the common factor:

5

= \frac{625}{24 e ^{5}}

2 y^{2} + 11 y + 10 = 0

x^{2} - x + 14 = 0

\frac{1}{9} - 1

ln (x^{2} - 3) \leq ln (x - 1)

121 x^{2} - 81 = 0