Simplify the following:
(20 x^6 y^7)/(16 x^10 y^2)
The gcd of 20 and 16 is 4, so (20 x^6 y^7)/(16 x^10 y^2) = ((4×5) x^6 y^7)/((4×4) x^10 y^2) = 4/4×(5 x^6 y^7)/(4 x^10 y^2) = (5 x^6 y^7)/(4 x^10 y^2):
(5 x^6 y^7)/(4 x^10 y^2)
Combine powers. (5 x^6 y^7)/(4 x^10 y^2) = (5 x^(6 - 10) y^(7 - 2))/4:
(5 x^6 - 10 y^7 - 2)/4
6 - 10 = -4:
(5 x^-4 y^(7 - 2))/4
7 - 2 = 5:
Answer: |(5y^5) / (4x^4)
