What is e^{-3}*((3^1)/(1!)) ?

The solution to e^{-3}*((3^1)/(1!)) is 3/(e^3)

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simplify e^{-3}*((3^1)/(1!))

simplify

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

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

Decimal Notation

0.14936 \dots

Solution steps

e^{- 3} (\frac{3 ^{1}}{1 !})

Apply exponent rule:

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

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

Apply rule

a^{1} = a

3^{1} = 3

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

Multiply fractions:

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

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

Multiply the numbers:

1 \cdot 3 = 3

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

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

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

(x p)^{6}

(3 ab c) (2 a^{2} b)

12 x 1 0^{- 6} \cdot 321 \cdot 13.5

f x (x e^{x y})

9.34 \cdot 1 0^{- 9}