Question

a^-1 + b^-2 / a^-2 + b^-1

The answer is

ab(b^2 + a) / b(b+a^2)

How do I set that up and work the problem out? thanks for the help

Answer 1

assume you mean
(a^-1 + b^-2) /(a^-2 + b^-1 )
or
a^-1 + b^-2
-------------
a^-2 + b^-1

multiply top and bottom by a^2 b^2

a^1b^2 + a^2b^1
-------------
b^2+ a^2 b^1

factor a b out of top and b out of bottom

ab[b + a]
------------- I disagree with you
b[b+ a^2 ]

Now you can also divide top and bottom by b by the way

a[b + a]
-------------
[b+ a^2 ]