**4x**×

**2x = ?**

Here we will do more than give you the solution to 4x × 2x. 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, 4 and 2 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:

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

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

In this problem, 4 and 2 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:

**4**×**x**×**2**×**x**=So now you can multiply what are the same. You can multiply the coefficients together and the x variables together as follows:

**4**×**2**=**8****x**×**x**=**x**^{2}Then you put the answers together and make the multiplication sign invisible again to get the following answer:

**4x × 2x = 8x**^{2}

More information

from Research Maniacs:

More information

from Research Maniacs:

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 x

^{1}.

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

4x × 2x

^{2}= 8x

^{3}

4x × 2x

^{3}= 8x

^{4}

4x × 2x

^{4}= 8x

^{5}

4x

^{2}× 2x = 8x

^{3}

4x

^{2}× 2x

^{2}= 8x

^{4}

4x

^{2}× 2x

^{3}= 8x

^{5}

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Do you think you can do it on your own now? If so, try the next problem on our list.