Simplify.

Question

(
6
x
3
y
)
(
2
x
y
2
)
(6x
3
y)(2xy
2
) Hint: Multiply the 6 and 2...then use the exponent rules for the variables.

Answer 1

To simplify the expression \((6x^3y)(2xy^2)\), follow these steps:

1. Multiply the coefficients: \(6\) and \(2\). \[ 6 \times 2 = 12 \]

2. Multiply the variable \(x\): \[ x^3 \text{ (from the first term)} \cdot x \text{ (from the second term)} = x^{3+1} = x^4 \]

3. Multiply the variable \(y\): \[ y \text{ (from the first term)} \cdot y^2 \text{ (from the second term)} = y^{1+2} = y^3 \]

Now, combine all parts together: \[ 12x^4y^3 \]

So, the simplified expression is: \[ \boxed{12x^4y^3} \]