MATH

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

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  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 ]

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