What is e^{-0.02*50}(((0.02*50)^5)/(5!)) ?

The solution to e^{-0.02*50}(((0.02*50)^5)/(5!)) is 1/(120e)

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simplify e^{-0.0250}(((0.0250)^5)/(5!))

simplify

e^{- 0.02 \cdot 50} (\frac{( 0.02 \cdot 50 ) ^{5}}{5 !})

\frac{1}{120 e}

Decimal

0.00306 \dots

Solution steps

e^{- 0.02 \cdot 50} (\frac{( 0.02 \cdot 50 ) ^{5}}{5 !})

Apply exponent rule:

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

= \frac{1}{e ^{50 \cdot 0.02}} \cdot \frac{( 50 \cdot 0.02 ) ^{5}}{5 !}

e^{0.02 \cdot 50} = e

= \frac{1}{e} \cdot \frac{( 50 \cdot 0.02 ) ^{5}}{5 !}

(0.02 \cdot 50)^{5} = 1

= \frac{1}{e} \cdot \frac{1}{5 !}

Multiply fractions:

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

= \frac{1 \cdot 1}{e 5 !}

Multiply the numbers:

1 \cdot 1 = 1

= \frac{1}{e 5 !}

e 5! = 120 e

= \frac{1}{120 e}

(1.26 \cdot 1 0^{- 11}) (7.94 \cdot 1 0^{- 4})

\frac{53}{200} \cdot e^{(- \frac{200}{0.17} \cdot 4.3 \cdot 1 0^{- 4})}

2 e^{- 0.03 (\frac{0.5}{12})}

e^{- π s}

(46.8) (6.63 \cdot 1 0^{- 34})

What is e^{-0.02*50}(((0.02*50)^5)/(5!)) ?
The solution to e^{-0.02*50}(((0.02*50)^5)/(5!)) is 1/(120e)