4 4 Rational Exponents Objective To simplify expressions

4: 4 Rational Exponents Objective- To simplify expressions involving rational exponents = or = = Algebra I by James Wenk © 2003 published by TEACHINGpoint as part of the Expert Systems for Teachers Series

Simplify. 1) = = 4) = = 2) = = 5) 3) = = 6) = = 2 Algebra I by James Wenk © 2003 published by TEACHINGpoint as part of the Expert Systems for Teachers Series

Roots of Negative Numbers 1) = = No Real Root 2) = = 3) = = 4) = = No Real Root 3 Algebra I by James Wenk © 2003 published by TEACHINGpoint as part of the Expert Systems for Teachers Series

Write using a root. Simplify. 1) = = No Real Root 2) = = 3) 4) = = = No Real Root = 4 Algebra I by James Wenk © 2003 published by TEACHINGpoint as part of the Expert Systems for Teachers Series

Write using a root. Simplify. 5) = = 6) = = 7) 8) = = No Real Root = = 5 Algebra I by James Wenk © 2003 published by TEACHINGpoint as part of the Expert Systems for Teachers Series

Rule of Rational Exponents = or = power root = Root or power first? Doesn’t matter! = = = = Algebra I by James Wenk © 2003 published by TEACHINGpoint as part of the Expert Systems for Teachers Series 6

Simplify. 1) = = 2) = 3) = 4) = = = = 7 Algebra I by James Wenk © 2003 published by TEACHINGpoint as part of the Expert Systems for Teachers Series

Simplify. 5) 6) = = 7) 8) = = = = = 8 Algebra I by James Wenk © 2003 published by TEACHINGpoint as part of the Expert Systems for Teachers Series

a) Simplify the root first. b) Simplify the power first. 1) a) = b) = = = 2) a) = b) = = = 9 Algebra I by James Wenk © 2003 published by TEACHINGpoint as part of the Expert Systems for Teachers Series