Question

2x • 3x 2

Multiply or divide as indicated.

Answer 1

For this case we have the following expression:

$2x * 3x ^ 2 =$

By definition of multiplication of powers of the same base, we have to put the same base and add the exponents, that is:

$a ^ n * a ^ m = a ^ {n + m}$

So:

$2x * 3x ^ 2 = (2 * 3) x^{1 + 2} = 6x ^ 3$

Answer:

$6x ^ 3$

Answer 2

Answer: $6x^3$

Step-by-step explanation:

You need to remember a property called "Product of powers property". This property states the following:

$(a^m)(a^n)=a^{(m+n)}$

In this case you can observe that the bases of the expression $2x*3x^2$ are equal, this means that you can apply the property mentioned before.

Knowing this you can make the multiplication.

Then, the product you get is:

$2x*3x^2=6x^{(1+2)}=6x^3$