I'm going to assume the equation you wrote is this:
(a5•b0)3
--------- = ?
(2b•a3)
The "cube" on the numerator's parentheses means
a5•b0 • a5•b0 • a5•b0
Since multiplying numbers means adding the exponents of the like terms, then
a(5+5+5)•b(0+0+0) = a15•b0
Thus you have
a15•b0
-------- = ?
2b•a3
The zero exponent means "1", therefore
a15•1
-------- = ?
2b•a3
Multiplication is commutative, so you can rearrange the denominator
a15•1
-------- = ?
a3•2b
And you can combine like terms into separate fractions, like this
a15 1
---- • ---- = ?
a3 2b
Dividing numbers means subtracting the exponents of the denominator from the exponents of the numerator, so
a(15-3) = a12
and
a12 1
---- • ---- = ?
1 2b
Recombining results in
a12
------ = ?
2b
So the answer is
(a5•b0)3 a12
--------- = -----
(2b•a3) 2b
Of course, this is all assuming my interpretation of your problem is correct. Even if it's not, the principles shown here still hold.
Hope this helps!