simplify the following. (x^4y^-7/xy^-7)^-1

this is college algebra and my math teacher confused me really bad
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[(x^4 y^-7) / (xy^-7)]^-1 =[(xy^-7) / (x^4 y^-7)] . . . =x/x^4 . . . =1/x^3 . . . =x^-3 . .
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