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= a²/b . b^-2 / a : (a^-6 / b^-2)
= a²/b . b^-2 / a x b^-2 / a^-6
= a^2-1-(-6) . b^-2+(-2)-1
= a^1+6 . b^-2-2-1
= a^7 . b^-4-1
= a^7 . b^-5
= a^7 / b^5