What is (e^{-4}*4^4)/(4!) ?

The solution to (e^{-4}*4^4)/(4!) is (32)/(3e^4)

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simplify (e^{-4}*4^4)/(4!)

simplify

\frac{e ^{- 4} \cdot 4 ^{4}}{4 !}

\frac{32}{3 e ^{4}}

Decimal Notation

0.19536 \dots

Solution steps

\frac{e ^{- 4} \cdot 4 ^{4}}{4 !}

Multiply

e^{- 4} \cdot 4^{4} : \frac{256}{e ^{4}}

= \frac{\frac{256}{e ^{4}}}{4 !}

Apply the fraction rule:

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

= \frac{256}{e ^{4} \cdot 4 !}

e^{4} \cdot 4! = 24 e^{4}

= \frac{256}{24 e ^{4}}

Cancel the common factor:

8

= \frac{32}{3 e ^{4}}

5 x + 5 y

x + (x + 2) + (x + 4) = 24

∣ 3 x - 2 ∣ \geq 0

6 + 3 x = x - 8

36 x^{2} - 60 x y + 25 y^{2}