What is 8!*9choose^2*2! ?

The solution to 8!*9choose^2*2! is 725760e^2cho^2s

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simplify 8!9choose^22!

simplify

8! \cdot 9 c h oos e^{2} \cdot 2!

725760 e^{2} c h o^{2} s

Solution steps

8! \cdot 9 c h oos e^{2} \cdot 2!

Apply exponent rule:

a^{b} \cdot a^{c} = a^{b + c}

oo = o^{1 + 1}

= 8! \cdot 9 c h o^{1 + 1} s e^{2} \cdot 2!

Add the numbers:

1 + 1 = 2

= 8! \cdot 9 c h o^{2} s e^{2} \cdot 2!

Apply factorial rule:

n! = 1 \cdot 2 \cdot 3 \cdot \dots \cdot n

8! = 1 \cdot 2 \cdot 3 \cdot 4 \cdot 5 \cdot 6 \cdot 7 \cdot 8

= 1 \cdot 2 \cdot 3 \cdot 4 \cdot 5 \cdot 6 \cdot 7 \cdot 8 \cdot 9 c h o^{2} s e^{2} \cdot 2!

Apply factorial rule:

n! = 1 \cdot 2 \cdot 3 \cdot \dots \cdot n

2! = 1 \cdot 2

= 1 \cdot 2 \cdot 3 \cdot 4 \cdot 5 \cdot 6 \cdot 7 \cdot 8 \cdot 9 c h o^{2} s e^{2} \cdot 1 \cdot 2

Multiply the numbers:

1 \cdot 2 \cdot 3 \cdot 4 \cdot 5 \cdot 6 \cdot 7 \cdot 8 \cdot 9 \cdot 1 \cdot 2 = 725760

= 725760 e^{2} c h o^{2} s

y^{\frac{3}{2}}

4.07 \cdot 1 0^{- 9} (\frac{0.36}{5 \cdot 1 0 ^{- 6}})

2 (1 - 2 x)^{- 1}

\frac{1}{2} e^{- \frac{0}{2}}