[quote]Assuming A, B, and C must all be whole numbers, there is no solution.
[b]However[/b], because it is not stated within the problem, we can use irrational numbers to solve.
One solution would be as such:
A=∛3
B=∛3
C=∛6
n=3
Since we are cubing each cube root, the equation becomes 3+3=6, which is correct.
Another solution could be found by using 0 to make the equation simplify to 0+0=0, since 0 to the power of any non-zero number is 0.
A=0
B=0
C=0
n=3
If you want to modify the equation so it does not have a solution, you would have to include the rule that A, B, and C must be whole numbers. Otherwise, irrational numbers and zero allow for solutions.[/quote]Uh..what he said!
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