I would just like to know how to do the following things:

-Change radicals from whole to mixed and vice/versa.

-Exponents like (5^-1)^4 and how to solve them.

-How to use the Pythagorem Theroem properly.

-And something called simplifying algebra (this is the thing that I don't get the most)

Example question: (a+b)(2a^2-2b) Simplify.

(3a+5)^2 Simplify.

2(a^-3)^2+3(b^2)^-2. Simplify.

Hopefully you guys could help me understand this stuff :P