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