Answer:
-4 x^3 y^2 thus: # 4
Explanation:
Simplify the following:
(24 x^6 y^3)/(-6 x^3 y)
The gcd of 24 and -6 is 6, so (24 x^6 y^3)/(-6 x^3 y) = ((6×4) x^6 y^3)/((6 (-1)) x^3 y) = 6/6×(4 x^6 y^3)/(-x^3 y) = (4 x^6 y^3)/(-x^3 y):
(4 x^6 y^3)/(-1 x^3 y)
Combine powers. (4 x^6 y^3)/(-x^3 y) = (4 x^(6 - 3) y^(3 - 1))/(1 (-1)):
(4 x^(6 - 3) y^(3 - 1))/(-1)
6 - 3 = 3:
(4 x^3 y^(3 - 1))/(-1)
3 - 1 = 2:
(4 x^3 y^2)/(-1)
Multiply numerator and denominator of (4 x^3 y^2)/(-1) by -1:
Answer: -4 x^3 y^2