(3x^2y^4)(4xy^2)

in simplist form
please help

I am assuming that only the y term is squared in the second term.

12 (x^3) (y^6)

When multiplying terms, you add the exponents.

I hope this helps.

To simplify the expression (3x^2y^4)(4xy^2), we need to multiply the coefficients (numbers) separately, and then combine the variables with the same base (x and y) by adding their exponents.

Let's start by multiplying the coefficients: 3 times 4 equals 12.

Next, we will combine the variables x and y. We add the exponents of x and y that are multiplied together.

For x, we add the exponents 2 + 1, which gives us x^3.

For y, we add the exponents 4 + 2, which gives us y^6.

Now we can write the simplified expression: 12x^3y^6.