How do you simplify (15x^-2y^-4)^-1 /(30xy)^-1?

1 Answer
Alan P.
Jun 25, 2015

((15x^(-2)y^(-4))^(-1))/((30xy)^(-1))

color(white)("XXXX")=((30xy))/((15x^(-2)y^(-4)))

color(white)("XXXX")= 30/15 * x/x^(-2) * y/y^(-4)

color(white)("XXXX")= 2x^3y^5

(The major concept used throughout this is:
color(white)("XXXX")b^(-m) = 1/(b^m) and 1/b^(-m) = b^m)

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