How do I solve this Quadratic Equation

Question

(-x^-5/12 y^2/15)⁶(-5x^1/6y^1/5)^-3

Answer 1

First, apply the power raise to a power rule.

 

(-x^-5/2y^6/15)(-5x^-1/2y^-3/5) =

 

(-x^-5/2 y^2/5)(-5x^-1/2y^-3/5)

 

 

Next, multiply coefficients of common bases and add exponents of common bases.

 

5x^-3 * y^-2/5

 

 

Convert to positive exponents.

 

(5 / x³) * (1 / (y^2/5)) =

 

5 / (x³ * ⁵√(y²))