Question 8/Multiple Choice Worth 4 points) (06.03 LC) Simplify (5x^4y^2)(2x^2y) 10x^8y^2 10x^6y^3 10x^6y^2 7x^6y^3

## Step 1<br />The given expression is \((5x^{4}y^{2})(2x^{2}y)\). To simplify this, we need to multiply the coefficients and add the exponents of the variables.<br /><br />## Step 2<br />The coefficients are 5 and 2. When we multiply these, we get \(5 \times 2 = 10\).<br /><br />## Step 3<br />The variable \(x\) has exponents 4 and 2. When we add these, we get \(4 + 2 = 6\).<br /><br />## Step 4<br />The variable \(y\) has exponents 2 and 1. When we add these, we get \(2 + 1 = 3\).<br /><br />## Step 5<br />Combine the results from steps 2, 3, and 4 to get the simplified expression.