Description 
in Symbolic form 
The
Rule in Words 
Example 
Product with same base 

When multiplying like bases, keep the base the same and add the exponents. 





Description 
in Symbolic form 
The
Rule in Words 
Example 
Power to a Power 

When raising a base with a power to another power, keep the base the same and multiply the exponents. 





Description 
in Symbolic form 
The
Rule in Words 
Example 
quotient with same base  When dividing like bases, keep the base the same and subtract the denominator exponent from the numerator exponent. 






Description 
in Symbolic form 
The
Rule in Words 
Example 
Product to a Power  When raising a product to a power, distribute the power to each factor. 






Description 
in Symbolic form 
The
Rule in Words 
Example 
quotient to a Power  When raising a fraction to a power, distribute the power to each factor in the numerator and denominator of the fraction.  




Description 
in Symbolic form 
The
Rule in Words 
Example 
zero power  Anything raised to the zero power is one.  




Description 
in Symbolic form 
The
Rule in Words 
Example 
negative power  Negative
exponents signify division. In particular, find the reciprocal of the
base.
When a base is raised to a negative power, reciprocate (find the reciprocal of) the base, keep the exponent with the original base, and drop the negative. 





Description 
in Symbolic form 
The
Rule in Words 
Example 
quotient with negative power  Negative
exponents signify division. In particular, find the reciprocal of the
base.
When a denominator is raised to a negative power, move the factor to the numerator, keep the exponent but drop the negative. 





