Solving Problems with Exponent Laws Practice

Rules of 1: There are two simple "rules of 1" to remember. First, any number raised to the power of "one" equals itself. This makes sense, because the power shows how many times the base is multiplied by itself. If it's only multiplied one time, then it's logical that it equals itself.

Secondly, one raised to any power is one. This, too, is logical, because one times one times one, as many times as you multiply it, is always equal to one.

Zero Rule: According to the "zero rule," any nonzero number raised to the power of zero equals 1. 

Negative Exponents: Any nonzero number raised to a negative power equals its reciprocal raised to the opposite or positive power. Also, any nonzero number raised to a positive power equals its reciprocal raised to the opposite or negative power. 

Practice for these exponent laws below

Product Rule: The exponent "product rule" tells us that, when multiplying two powers that have the same base, you can add the exponents. Adding the exponents is just a short cut!

Quotient Rule: The quotient rule tells us that we can divide two powers with the same base by subtracting the exponents. You can see why this works if you study the example shown.  

Power Rule: The "power rule" tells us that to raise a power to a power, just multiply the exponents.

Practice for these exponent laws below