Simplify (4x2y)(3xy)(2xy)3
Starting with the terms inside the parentheses:
(4x2y) = 4xy2
(3xy) = 3xy
(2xy)3 = 8x3y3
Now, putting it all together:
(4xy2)(3xy)(8x3y3)
= (4 * 3 * 8)(x * x * x)(y2 * y * y3)
= 96x4y6
To simplify the expression (4x^2y)(3xy)(2xy)^3, we can merge the coefficients together and combine the variables with the same base by adding their exponents.
First, let's merge the coefficients: 4 * 3 * 2 = 24.
Next, let's combine the variables with the same base by adding their exponents:
For the x variable: x^2 * x * (x^3) = x^(2+1+3) = x^6.
For the y variable: y * y * (y^3) = y^(1+1+3) = y^6.
Putting it all together, the simplified expression is 24x^6y^6.