SOLUTION: Please help me to solve the following problem: {{{12^(n+1)*9^(n-2)*3^n/18^(2n-1)}}}

Algebra ->  Expressions-with-variables -> SOLUTION: Please help me to solve the following problem: {{{12^(n+1)*9^(n-2)*3^n/18^(2n-1)}}}       Log On


   

Question 276085: Please help me to solve the following problem:

12%5E%28n%2B1%29%2A9%5E%28n-2%29%2A3%5En%2F18%5E%282n-1%29
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
Please help me to solve the following problem:
12%5E%28n%2B1%29%2A9%5E%28n-2%29%2A3%5En%2F18%5E%282n-1%29
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Factor everything
12%5E%28n%2B1%29%2A9%5E%28n-2%29%2A3%5En%2F18%5E%282n-1%29
=
Add exponents of 2's and 3's
= 2%5E%282n%2B2%29%2A3%5E%284n-3%29%2F%282%5E%282n-1%29%2A3%5E%284n-2%29%29
= 2%2A3%5E%28-1%29
= 2/3