Lesson 4.2 Zero and Negative Exponents Objective- To solve problems involving negative exponents and zero exponents. A negative exponent is an inverse! 1 Scientific Calculator Reciprocal Key x -1 = x 1/x or Simplify. x -1 1) 3) 5) 2) 4) 6) Algebra I by James Wenk © 2003 published by TEACHINGpoint as part of the Expert Systems for Teachers Series Algebra 1 by James Wenk © 2003 published by TEACHINGpoint
Repetitive Multiplication = 3 = 1 Follow the Pattern! = 3 3 3 = 3 3 Repetitive Multiplication = 3 = 1 = Repetitive Division = = Algebra I by James Wenk © 2003 published by TEACHINGpoint as part of the Expert Systems for Teachers Series
x x x 3 3 3 3 9 Negative exponents follow rules of exponents. = = = = Rule of Common Bases a b a + b x x x = 3 4 -2 4 + -2 3 3 3 2 9 = = = 81 81 = 9 Algebra I by James Wenk © 2003 published by TEACHINGpoint as part of the Expert Systems for Teachers Series
( ) ( ) ( ) x x 2 2 2 8 Negative exponents follow rules of exponents. Power to Power Rule ( ) b a ab x x = -2 ( ) 3 3(-2) -6 2 2 2 = = = = -2 ( ) 8 = = 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) Algebra I by James Wenk © 2003 published by TEACHINGpoint as part of the Expert Systems for Teachers Series
Rewrite without using negative exponents. 1) 2) 3) Algebra I by James Wenk © 2003 published by TEACHINGpoint as part of the Expert Systems for Teachers Series
Rewrite without using negative exponents. 4) 5) 6) Algebra I by James Wenk © 2003 published by TEACHINGpoint as part of the Expert Systems for Teachers Series
3 3 3 3 1 1 = = = 9 9 = 1 For all real numbers x, except x = 0, Simplify. 1 Factor Explanation Negative Exponent Explanation 2 -2 2 + -2 3 3 3 3 1 = = = 9 9 = 1 For all real numbers x, except x = 0, 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) Algebra I by James Wenk © 2003 published by TEACHINGpoint as part of the Expert Systems for Teachers Series
Find the value of x. 1) 4) 2) 5) 3) 6) Algebra I by James Wenk © 2003 published by TEACHINGpoint as part of the Expert Systems for Teachers Series