What is e^{-6}((6^9)/(9!)) ?

The solution to e^{-6}((6^9)/(9!)) is (972)/(35e^6)

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simplify e^{-6}((6^9)/(9!))

simplify

e^{- 6} (\frac{6 ^{9}}{9 !})

\frac{972}{35 e ^{6}}

Decimal Notation

0.06883 \dots

Solution steps

e^{- 6} (\frac{6 ^{9}}{9 !})

Apply exponent rule:

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

= \frac{1}{e ^{6}} \cdot \frac{6 ^{9}}{9 !}

Multiply fractions:

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

= \frac{1 \cdot 6 ^{9}}{e ^{6} \cdot 9 !}

Multiply:

1 \cdot 6^{9} = 6^{9}

= \frac{6 ^{9}}{e ^{6} \cdot 9 !}

6^{9} = 10077696

= \frac{10077696}{e ^{6} \cdot 9 !}

e^{6} \cdot 9! = 362880 e^{6}

= \frac{10077696}{362880 e ^{6}}

Cancel the common factor:

10368

= \frac{972}{35 e ^{6}}

e^{C} e^{(- X^{(- 1)})}

5.2 x 1 0^{- 7} \cdot 8

1.7 x 1 0^{- 11} π

100 e^{- 0.02}

What is e^{-6}((6^9)/(9!)) ?
The solution to e^{-6}((6^9)/(9!)) is (972)/(35e^6)