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Suppose you have (x5)(x6); Just remember that you're counting factors.
x5 = (x)(x)(x)(x)(x) and x6 = (x)(x)(x)(x)(x)(x)
Now multiply them together:
(x5)(x6) = (x)(x)(x)(x)(x)(x)(x)(x)(x)(x)(x) = x11
Why x11? Well, how many x's are there? Five x factors from x5, and six x factors from x6, makes 11 x factors total.
Can you see that whenever you multiply any two powers of the same base, you end up with a number of factors equal to the total of the two powers? In other words, when the bases are the same, you find the new power by just adding the exponents:
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