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^-7y15
To simplify the expression, we can combine the coefficients and add the exponents of the variables.
First, let's combine the coefficients: 9 * 12 * 2 = 216.
Next, let's combine the x terms: x^2 * x^-3 * x = x^2-3+1 = x^0 = 1. (Remember that any non-zero number raised to the power of 0 is equal to 1.)
Finally, let's combine the y terms: y^3 * y^5 * y = y^3+5+1 = y^9.
Putting it all together, the simplified expression is 216 * 1 * y^9, which is equivalent to 216y^9.
Therefore, the correct answer is 216y^9.