# 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.

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