Rational Exponents

Defn If m and n are positive integers greater than 1 with in lowest terms , then
, as long as is a real number . In particular,

Radical Notation Exponential Notation

Ex 1 Rewrite using radical notation. Simplify when possible.

Defn

Ex 2 Simplify using properties of exponents.

Ex 3 Factor from

Ex 4 Use rational exponents to simplify. Assume all variables represent positive real numbers. Write answers in radical notation.