What is ((9)^5)/(5!)e^{-9} ?

The solution to ((9)^5)/(5!)e^{-9} is (19683)/(40e^9)

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simplify ((9)^5)/(5!)e^{-9}

simplify

\frac{( 9 ) ^{5}}{5 !} e^{- 9}

\frac{19683}{40 e ^{9}}

Decimal Notation

0.06072 \dots

Solution steps

\frac{( 9 ) ^{5}}{5 !} e^{- 9}

Apply exponent rule:

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

= \frac{1}{e ^{9}} \cdot \frac{9 ^{5}}{5 !}

Multiply fractions:

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

= \frac{9 ^{5} \cdot 1}{5 ! e ^{9}}

Multiply:

9^{5} \cdot 1 = 9^{5}

= \frac{9 ^{5}}{e ^{9} \cdot 5 !}

9^{5} = 59049

= \frac{59049}{e ^{9} \cdot 5 !}

5! e^{9} = 120 e^{9}

= \frac{59049}{120 e ^{9}}

Cancel the common factor:

3

= \frac{19683}{40 e ^{9}}

e^{4 x} \cdot e^{- 4 x}

- \frac{1}{3} e^{- 3 x} \cdot e^{x}

e^{3} \cdot e^{x}

2^{x - 2}

e^{- r t}

What is ((9)^5)/(5!)e^{-9} ?
The solution to ((9)^5)/(5!)e^{-9} is (19683)/(40e^9)