Question

How do you simplify `2x ^ { 3} y ^ { 2} \cdot 2x`?

Answer 1

`4x^4y^2`

Explanation:

First let's multiply all numerical values.
`\color(red)(2)x^3y^2\cdot\color(red)(2)x=\color(red)(4)x^3y^2\cdotx`

When multiplying two terms with the same base, you add the exponents.
`4\color(blue)(x^3)y^2\cdot\color(blue)(x)=4\color(blue)(x^(3+1))y^2=4\color(blue)(x^4)y^2`

Result: `4x^4y^2`