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

Question 1105721: How many pairs of integers (a, b) satisfy the equation
Found 2 solutions by ikleyn, Boreal:
Answer by ikleyn(52781)   (Show Source): You can put this solution on YOUR website!
.
HINT.   1296 = = .

Answer by Boreal(15235)   (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.
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