4 2 Zero and Negative Exponents Objective To
4: 2 Zero and Negative Exponents Objective- To solve problems involving negative exponents and zero exponents. A negative exponent is an inverse! x -1 = 1 x Scientific Calculator Reciprocal Key 1/x Simplify. 1) 3) 5) 2) 4) 6) or x-1 1 Algebra I by James Wenk © 2003 published by TEACHINGpoint as part of the Expert Systems for Teachers Series
Follow the Pattern! =3 3 3 =3 3 Repetitive Multiplication =3 =1 = Repetitive Division = = 2 Algebra I by James Wenk © 2003 published by TEACHINGpoint as part of the Expert Systems for Teachers Series
Negative exponents follow rules of exponents. Rule of Common Bases a b x x =x 4 -2 3 3 =3 a+b 4 + -2 2 =3 =9 81 81 = 9 3 Algebra I by James Wenk © 2003 published by TEACHINGpoint as part of the Expert Systems for Teachers Series
Negative exponents follow rules of exponents. Power to Power Rule a b (x ) 3 -2 (2 ) -2 (8) =2 = 3(-2) = x -6 ab =2 = = = 4 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) 5 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) 6 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) 7 Algebra I by James Wenk © 2003 published by TEACHINGpoint as part of the Expert Systems for Teachers Series
Simplify. 1 Factor Explanation Negative Exponent Explanation 2 -2 3 3 =3 2 + -2 0 =3 =1 9 9 = 1 For all real numbers x, except x = 0, 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) 9 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) 10 Algebra I by James Wenk © 2003 published by TEACHINGpoint as part of the Expert Systems for Teachers Series
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