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

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

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

simplify

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

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

Solution steps

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

Apply exponent rule:

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

= \frac{1}{e ^{5}} \cdot \frac{5 ^{5}}{5 !}

Multiply fractions:

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

= \frac{5 ^{5} \cdot 1}{5 ! e ^{5}}

Multiply:

5^{5} \cdot 1 = 5^{5}

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

5^{5} = 3125

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

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

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

Cancel the common factor:

5

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

2 5^{2}

4 x^{2} - 3 x = 0

5 = x + 8

3 y^{2} - 2 y - 21

7 (x + 4) > 0