You may want to review multiplying fractions first.

Exponents are another word for raising something to a power. They
look like
“(−5 ⁄ 2)^{2}”. As
I hope you already know, this means you multiply
−5 ⁄ 2 by itself and get
25 ⁄ 4.

It gets harder when the base (the big number on the bottom) can
be a letter. There are three rules you need to remember. For this
section, though, you'll only need one of them. It says that if
you're multiplying two powers with the *same* base, the
exponents (the little numbers up top) add. For
example, *x*^{4}*x*^{6}
= *x*^{10}. Dividing goes the other way around,
so *x*^{6} / *x*^{4}
= *x*^{2}.

What happens if you have to divide *x*^{4}
/ *x*^{6}? You use the same rule as before,
getting *x*^{−2}. This means the same thing as
1 ⁄ *x*^{2}.

Note that powers with *different* bases don't combine. So
if you want to multiply 3*x*^{4}*y* by
2*x*^{5}*y*^{2}, we multiply the numbers
in front (getting 6), add the exponents on the *x*'s (getting
9) and add the exponents on the *y*'s (getting 3 —
remember that *y* is the same thing
as *y*^{1}). The answer is then
6*x*^{9}*y*^{3}.

Finally, note that anything to the 0 power is 1.
So *x*^{3} / *x*^{3}
= *x*^{0} = 1.