Now I start to get shaky. I add the exponents, right? Which would give:
Actually, the sum of
, so the simplification should be:. . . . .
Actually:. . . . .
...so the previous expression simplifies as
. However, since the square is never negative, the absolute-value bars aren't needed, and you end up with your final result.
I make the big deal about the absolute-value bars because you could be given a "simplification" exercise along these lines where the parity (oddness or evenness) of the exponent and / or the radical will
matter. Keep an eye out on your next test; it's often a trick question on exams.