Simplify the following factorial expression.
\[
\frac{(9 n) !}{(9 n+1) !}
\]
$\frac{(9 n) !}{(9 n+1) !}=$
(Simplify your answer.)

Answer

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Answer

Final Answer: The simplified form of the given factorial expression is $\boxed{\frac{1}{9n+1}}$

Steps

Step 1 ：The factorial of a number n, denoted as n!, is the product of all positive integers less than or equal to n. The factorial function can be defined by the product n! = n*(n-1)!

Step 2 ：In the given expression, the denominator is the factorial of (9n+1), which can be rewritten as (9n+1)*9n!. This means that the expression can be simplified by cancelling out the common factor of 9n! in the numerator and denominator.

Step 3 ：Final Answer: The simplified form of the given factorial expression is $\boxed{\frac{1}{9n+1}}$

Simplify the following factorial expression.\[\frac{(9 n) !}{(9 n+1) !}\]$\frac{(9 n) !}{(9 n+1) !}=$(Simplify your answer.)

Answer

Popular Problems

Simplify the following factorial expression.
\[
\frac{(9 n) !}{(9 n+1) !}
\]
$\frac{(9 n) !}{(9 n+1) !}=$
(Simplify your answer.)