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

The solution to e^{-3}*(3^3)/(3!) is 9/(2e^3)

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

simplify

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

\frac{9}{2 e ^{3}}

Decimal Notation

0.22404 \dots

Solution steps

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

Apply exponent rule:

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

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

Multiply fractions:

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

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

Multiply:

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

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

3^{3} = 27

= \frac{27}{e ^{3} \cdot 3 !}

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

= \frac{27}{6 e ^{3}}

Cancel the common factor:

3

= \frac{9}{2 e ^{3}}

(4 x^{2} y) (3 x^{5} y^{2})

0.2 \times 1 0^{- 2}

(36) (36)

(e^{\frac{θ}{2}})^{2}

(2)^{2} e^{- (2)}