[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!