SOLUTION: How many pairs of integers (a, b) satisfy the equation {{{ a^b =1296 }}}

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Question 1105721: How many pairs of integers (a, b) satisfy the equation +a%5Eb+=1296+
Found 2 solutions by ikleyn, Boreal:
Answer by ikleyn(52778) About Me  (Show Source):
You can put this solution on YOUR website!
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HINT.   1296 = 2%5E12 = %28-2%29%5E12.


Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
6^4 and (-6)^4=1296.
36^2 and (-36)^2=1296
1296^1=1296.
5 pairs.