Exponents inside exponents are done right to left. That may seem odd, because addition, subtraction, multiplication, and division are all done left to right. If it's raised, it's part of the exponent. OK, if you're making this mistake it's probably not your fault. By the way, part of the problem here is just sloppy handwriting.
Exponents always come before multiplication.
Fraction bars and the order of operations Compare the following examples. I'm going to simplify some expressions following the order of operations. According to the order of operations, anything in parentheses has to be done first. According to the order of operations, division should be done before addition. Now here's the tricky bit.