What is (e^{-4}*4^3)/(3!) ?

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

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simplify (e^{-4}*4^3)/(3!)

simplify

\frac{e ^{- 4} \cdot 4 ^{3}}{3 !}

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

Solution steps

\frac{e ^{- 4} \cdot 4 ^{3}}{3 !}

Multiply

e^{- 4} \cdot 4^{3} : \frac{64}{e ^{4}}

= \frac{\frac{64}{e ^{4}}}{3 !}

Apply the fraction rule:

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

= \frac{64}{e ^{4} \cdot 3 !}

e^{4} \cdot 3! = 6 e^{4}

= \frac{64}{6 e ^{4}}

Cancel the common factor:

2

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

\frac{12}{13}

1 \frac{1}{3} \cdot 1 \frac{3}{4}

\frac{1}{1 - 0.6}

\frac{1}{12} - \frac{3}{4}

(5) (5)