1. The Zero Exponent Property. This property states that any number (other than
zero itself) raised to the power of zero equals 1. For example,
= 1, 
if x is not zero.
[However 
is not defined.]
2. The Negative Exponent Property. This property states that any negative
exponent can be converted to a positive by flipping the fraction. For example,
= 
= 
.
= 
.
3. The Property of multiplication when there is a common base. This property
states that when multiplying the same base with different exponents, you can
add the exponents together. For example,
= 
= 
= 
.
= 
.
4. The Property of division when there is a common base with different
exponents. This rule states that when dividing the same number with different
exponents, you subtract the exponents. For example
= 
= 
= 4.
= 
= 
.
5. The Property of multiplication when there is a common exponent with
different bases. This property states that when two or more different numbers
with the same exponent are being multiplied, the exponent is only used once.
For example,
= 
= 
= 
.
= 
.
6. The Property of division when there is a common exponent with
different bases. This property states that when two or more different numbers
with the same exponent are being divided, the exponent is only used once.
For example,
= 
= = 8.
= 
7. The Power to a Power rule. This rule states that when a power is raised to
another power, you multiply the inner exponent by the outer exponent. For
example,
= 
= 
= 
.
= 
= 
.
Edwin
