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(a^2/b)^-3 x (b^-2/a^3)^5 : (a^3/b)^-2 =
(a^-6/b^-3) x (b^-10/a^15) : (a^-6/b^-2) =
(a^-21 x b^-7) : (a^-6/b^-2) =
(a^-21 x b^-7) x (b^-2/a^-6) =
a^-15 x b^-9
[tex] {a}^{ - 15} \times {b}^{ - 9} [/tex]
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