Algebrarules.com

The most useful rules of basic algebra,
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Howdy! Here are a few very handy rules of algebra. These basic rules are useful for everything from figuring out your gas mileage to acing your next math test — or even solving equations from the far reaches of theoretical physics. Happy calculating!

Algebra Rule 11

The product of two powers with the same base is equal to that base raised to the sum of the two exponents

$$a^ma^n = a^{m+n}$$
Description:

As with many rules related to exponents, writing out the exponents as multiplications makes it obvious why the rule is true

$$3^3*3^2 = (3*3*3)(3*3) = 3^5$$
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