What is 3x times 12x?

3x × 12x = ?

Here we will do more than give you the solution to 3x × 12x. We will also explain and teach you how we came up with the answer, so you can understand it and solve similar problems in the future without help.

In this problem, 3 and 12 are the coefficients and two Xs are the variables. When a coefficient is next to a variable there is an invisible multiplication sign. So you could rewrite the problem as follows:

3 × x × 12 × x =

So now you can multiply what are the same. You can multiply the coefficients together and the x variables together as follows:

3 × 12 = 36

x × x = x²

Then you put the answers together and make the multiplication sign invisible again to get the following answer:

3x × 12x = 36x²

If you multiply two same variables with exponents, you simply keep the variable and add the exponents. Also x with no exponent is the same as x¹.

Here are some problems with answers that you should know based on what you learned on this page:

3x × 12x² = 36x³

3x × 12x³ = 36x⁴

3x × 12x⁴ = 36x⁵

3x² × 12x = 36x³

3x² × 12x² = 36x⁴

3x² × 12x³ = 36x⁵

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