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# What are the laws of exponent multiplication?

Updated: 12/20/2022

Wiki User

14y ago

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:

Wiki User

14y ago

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Q: What are the laws of exponent multiplication?
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