Simplify (3x4y3)(4x2y)

12x^6y^4

To simplify the expression (3x^4y^3)(4x^2y), we can apply the rules of exponents and multiply the coefficients and variables separately.

First, multiply the coefficients 3 and 4:

3 * 4 = 12

Next, multiply the variables with the same base, x:

x^4 * x^2 = x^(4+2) = x^6

Finally, multiply the variables with the same base, y:

y^3 * y = y^(3+1) = y^4

Putting it all together, the simplified expression is:

12x^6y^4