Which of the following is equivalent to the expression (9x^2y^3)(12x^-3y^5)(2xy)
23x^-5y^8
216y^9
-x^-6y^8
-216x^-7y^15
The expression (9x^2y^3)(12x^-3y^5)(2xy) can be simplified by multiplying the coefficients together and adding the exponents of x and y.
9 * 12 * 2 = 216
x^2 * x^-3 * x^1 = x^(2 + (-3) + 1) = x^0 = 1
y^3 * y^5 = y^(3 + 5) = y^8
Therefore, the simplified expression is 216x^0y^8, which is equivalent to 216y^8.
None of the options listed match this simplified expression.