Answer:
Option B is correct, i.e. -2 x^8 y^18.
Explanation:
To find the equivalent expression to (10)(x^6)(y^12) / (-5)(x^-2)(y^-6)
Step 1: simplify numerical terms
(10) / (-5) = -2
Step 2: simplify exponents of x-terms
(x^6) / (x^-2) = (x^6) * (x^2) = x^(6+2) = x^8
Step 3: simplify exponents of y-terms
(y^12) / (y^-6) = (y^12) * (y^6) = y^(12+6) = y^18
It means (10)(x^6)(y^12) / (-5)(x^-2)(y^-6) = -2 x^8 y^18
Hence, option B is correct, i.e. -2 x^8 y^18.