What is (4^3e^{-4})/(3!) ?

The solution to (4^3e^{-4})/(3!) is (32)/(3e^4)

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simplify (4^3e^{-4})/(3!)

simplify

\frac{4 ^{3} e ^{- 4}}{3 !}

\frac{32}{3 e ^{4}}

Decimal Notation

0.19536 \dots

Solution steps

\frac{4 ^{3} e ^{- 4}}{3 !}

Multiply

4^{3} e^{- 4} : \frac{64}{e ^{4}}

= \frac{\frac{64}{e ^{4}}}{3 !}

Apply the fraction rule:

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

= \frac{64}{e ^{4} \cdot 3 !}

e^{4} \cdot 3! = 6 e^{4}

= \frac{64}{6 e ^{4}}

Cancel the common factor:

2

= \frac{32}{3 e ^{4}}

1 x - 1

(\frac{4}{3} 1.5)^{3}

(a + b - c)^{3}

5 \frac{5}{8}

(3 a - 5 b + 3 c) (4 a + 2 b + c)