What is (e^{-2}*2^3)/(3!) ?

The solution to (e^{-2}*2^3)/(3!) is 4/(3e^2)

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simplify (e^{-2}*2^3)/(3!)

simplify

\frac{e ^{- 2} \cdot 2 ^{3}}{3 !}

\frac{4}{3 e ^{2}}

Solution steps

\frac{e ^{- 2} \cdot 2 ^{3}}{3 !}

Multiply

e^{- 2} \cdot 2^{3} : \frac{8}{e ^{2}}

= \frac{\frac{8}{e ^{2}}}{3 !}

Apply the fraction rule:

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

= \frac{8}{e ^{2} \cdot 3 !}

e^{2} \cdot 3! = 6 e^{2}

= \frac{8}{6 e ^{2}}

Cancel the common factor:

2

= \frac{4}{3 e ^{2}}

12 - \frac{2}{5} 75

\frac{4}{7} + \frac{1}{2}

\frac{6 ^{7}}{6 ^{3}}

\frac{x ^{2} - 64}{x - 8}

\frac{3}{4} \cdot \frac{4}{5} \cdot \frac{5}{6}