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It means that you are multiplying two numbers, which are usually the same, and which each have an exponent. For example, 32*35... In situations such as these, where you have the same number as the base of each power, you may simply write the expression as a base (it doesn't even need to have been a number, as long as the bases were the same) to the power of original exponents added together. In this example this looks like:

32*35 = 35+2 = 37 = 2187

As you can see, this is true because:

32*35

can be written as 9*243

which equals 2187

You could also have done this with a non-number base.

For example:

(x2+3y)3 * (x2+3y) = (x2+3y)3+1 = (x2+3y)4

In this case the second term has an invisible exponent of 1, but it is not written down because that would be redundant.

As long as the stuff getting raised to a power is the same, and it is being multiplied, you can add the exponents. That is an easy way to multiply powers

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