What is (120^3)/(3!)e^{-3} ?

The solution to (120^3)/(3!)e^{-3} is (288000)/(e^3)

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simplify (120^3)/(3!)e^{-3}

simplify

\frac{12 0 ^{3}}{3 !} e^{- 3}

\frac{288000}{e ^{3}}

Decimal Notation

14338.67568 \dots

Solution steps

\frac{12 0 ^{3}}{3 !} e^{- 3}

Apply exponent rule:

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

= \frac{1}{e ^{3}} \cdot \frac{12 0 ^{3}}{3 !}

Multiply fractions:

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

= \frac{12 0 ^{3} \cdot 1}{3 ! e ^{3}}

Multiply:

12 0^{3} \cdot 1 = 12 0^{3}

= \frac{12 0 ^{3}}{e ^{3} \cdot 3 !}

12 0^{3} = 1728000

= \frac{1728000}{e ^{3} \cdot 3 !}

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

= \frac{1728000}{6 e ^{3}}

Divide the numbers:

\frac{1728000}{6} = 288000

= \frac{288000}{e ^{3}}

x^{2} + 5 x x^{2} - 3

1.34 \cdot 1 0^{- 6}

x^{2} e^{- \frac{1}{2} (x - 2)^{2}}

1.786 \cdot 1 0^{- 6}

ab^{\frac{1}{3}}

What is (120^3)/(3!)e^{-3} ?
The solution to (120^3)/(3!)e^{-3} is (288000)/(e^3)