Simplifying with Rational Exponents Section 6-1/2

Rational Exponents Property For any real number b and integers m, n with n > 1, then

Exponent Properties Review Product Rule: x 3 x 6 = x 9 Quotient Rule: Power Rule: (x 2 ) 3 = x 6 Negative Exponent Rule:

Simplify with rational exponents means: Lowest possible Base No negative exponents No fractional exponents in denominator

To Simplify Use powers to substitute into the original base (see below)

To Simplify Use powers to substitute into the original base (see below)

To Simplify Use powers to substitute into the original base (see below)

Simplifying Negative Exponents

No Fractional Exponents in Denominator You cannot have a fractional exponent in the denominator of a simplified expression. To get rid of the fraction we RATIONALIZE (see below)

Simplify y -5/6.

Homework Worksheet 8-3