Rational Exponents Evaluate rational exponents. 2.Write radicals as expressions raised to rational exponents. 3.Simplify expressions with rational number exponents using the rules of exponents. 4.Use rational exponents to simplify radical expressions.

Integer Exponents

Rational Exponents New notation for a familiar concept! Denominator is the index (root) of the radical.

Evaluate:

Evaluate: Not a real number

Rewrite in Radical Notation:

Rational Exponents Numerator is the power. power root Generally easier to find the root first and then the power.

Evaluate:

Evaluate:

Slide Copyright © 2011 Pearson Education, Inc. Simplify. a) 4 b) c)  4 d)

Slide Copyright © 2011 Pearson Education, Inc. Simplify. a) 4 b) c)  4 d)

Write in Exponential Form:

Rules of Exponents

Simplify radical expressions: 2 1

2 1

Slide Copyright © 2011 Pearson Education, Inc. Simplify. a) b) c) d)

Slide Copyright © 2011 Pearson Education, Inc. Simplify. a) b) c) d)