SOLUTION: Simplify: (2^2n - 1)/(2^n+1 - 2)

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Question 1049568: Simplify:
(2^2n - 1)/(2^n+1 - 2)
Found 3 solutions by stanbon, ikleyn, MathTherapy:
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Simplify:
(2^(2n) - 1)/(2^(n+1) - 2)
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= (2^(2n)-1)/[2(2^(2n)-1)]
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= 1/2
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Cheers,
Stan H.
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Answer by ikleyn(53751) About Me  (Show Source):
You can put this solution on YOUR website!
.
Simplify:
(2^2n - 1)/(2^n+1 - 2)
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ 

I assume that the original formula is


(2^2n - 1)/(2^n+1 - 2) = %282%5E%282n%29+-+1%29%2F%282%5E%28n%2B1%29+-+2%29 = %28%282%5En-1%29%2A%282%5En%2B1%29%29%2F%282%2A%282%5En-1%29%29 = %28%28cross%282%5En-1%29%29%2A%282%5En%2B1%29%29%2F%282%2A%28cross%282%5En-1%29%29%29 = %282%5En%2B1%29%2F2.

EVERY time you post the formulas to this site USE PARENTHESES to avoid ambiguity.


Answer by MathTherapy(10806) About Me  (Show Source):
You can put this solution on YOUR website!

Simplify:
(2^2n - 1)/(2^n+1 - 2)
Ambiguous! Can be: 2%5E%282n+-+2%29%2F2%5E%28n+%2B+1+-+2%29. How can anyone know exactly what it is?