Simplifying Exponets

Question

how do you simplify (xy^-2)^-3 (-2x^-2 y^3)^2

Answer 1

(xy^-2)^-3 (-2x^-2y³)²

(x^-3y⁶)(4x^-4y⁶)                power rule

4x^-3x^-4y⁶y⁶                     commute

4x^-7y¹²                           product rule

 

Check with your teacher is negative exponents are allowed.