Question

Simplify (4xy^-2)/(12x^(-1/3)y^-5) and Show work

Answer 1

4xy^-2/(12x^(-1/3)/3y^-5)

Interchange the numerator and denominator of the second fraction.

4xy^-2*(3y^-5/12x^(-1/3))

Simplify to get an answer. It's easier to multiply altogether instead of eliminating same factors.

12xy^-7/12x^(-1/3)

x^(1 + 1/3)y^(-7)

x^(4/3)/y^(7)