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

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

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

Decimal Notation

0.18044 \dots

Solution steps

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

Apply exponent rule:

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

= \frac{1}{e ^{2}} \cdot \frac{2 ^{3}}{3 !}

Multiply fractions:

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

= \frac{1 \cdot 2 ^{3}}{e ^{2} \cdot 3 !}

Multiply:

1 \cdot 2^{3} = 2^{3}

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

2^{3} = 8

= \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}}

30 e^{- 0.1 \cdot 0.5}

\frac{( x - 1 ) ^{3}}{x ^{3}}

x^{2} (6 x)

e^{6 x} \cdot e^{6 x}

25000 \cdot (\frac{1 - ( 1.0106 ) ^{- 54}}{0.0106})^{- 1}