What is (3.9^3)/(3!)*e^{-3.9} ?

The solution to (3.9^3)/(3!)*e^{-3.9} is 0.20012…

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simplify (3.9^3)/(3!)*e^{-3.9}

simplify

\frac{3. 9 ^{3}}{3 !} \cdot e^{- 3.9}

0.20012 \dots

Solution steps

\frac{3. 9 ^{3}}{3 !} e^{- 3.9}

Apply exponent rule:

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

= \frac{1}{e ^{3.9}} \cdot \frac{3. 9 ^{3}}{3 !}

Multiply fractions:

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

= \frac{3. 9 ^{3} \cdot 1}{3 ! e ^{3.9}}

Multiply:

3. 9^{3} \cdot 1 = 3. 9^{3}

= \frac{3. 9 ^{3}}{e ^{3.9} \cdot 3 !}

3. 9^{3} = 59.319

= \frac{59.319}{e ^{3.9} \cdot 3 !}

3! e^{3.9} = 6 e^{3.9}

= \frac{59.319}{6 e ^{3.9}}

e^{3.9} = 49.40244 \dots

= \frac{59.319}{6 \cdot 49.40244 \dots}

Multiply the numbers:

6 \cdot 49.40244 \dots = 296.41469 \dots

= \frac{59.319}{296.41469 \dots}

Divide the numbers:

\frac{59.319}{296.41469 \dots} = 0.20012 \dots

= 0.20012 \dots

\frac{2 - x}{x + 1}

8.63 \cdot 1 0^{- 5}

e^{- l n (1 - 2 x)}

2.65 \cdot 1 0^{- 6}

What is (3.9^3)/(3!)*e^{-3.9} ?
The solution to (3.9^3)/(3!)*e^{-3.9} is 0.20012…