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Popular >

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

Solution

simplify

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

Solution

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

+1

Decimal Notation

0.22404 \dots

Solution steps

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

Multiply:

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

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

3^{3} = 27

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

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

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

Cancel the common factor:

3

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

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Frequently Asked Questions (FAQ)

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