• Definition of If n is
a positive integer greater than 1 and is a
real number , then
Rewrite as a radical expression and simplify if possible.
• Definition of If m
and n are positive integers greater than 1 with
in simplest form , then
as long as is a real
Use radical notation to rewrite each expression. Simplify
• Definition of as
long as is a nonzero real number .
Write each expression with a positive exponent . Then
• Summary of Exponent Rules
If m and n are rational numbers , and a, b, and c are numbers for which the
expressions below exist,
Product rule for exponents:
Power rule for exponents :
Power rules for products and quotients:
Quotient rule for exponents :
Zero exponent :
Negative exponent :
Use the properties of exponents to simplify.