Lesson 5 2 Zero and Negative Exponents Goal

Lesson 5 -2 Zero and Negative Exponents Goal To simplify expressions involving zero and negative exponents.

“Investigating Algebra Activity” With a partner complete the following Activity …Copy and complete the tables…. ‘Draw Your Conclusions’ Exponent Value Exponent 54 53 52 51 50 5 -1 5 -2 5 -3 625 44 43 42 41 40 4 -1 4 -2 4 -3 125 25 5 1 1/5 1/25 1/125 Value 256 64 16 4 1 1/4 1/16 1/64 Exponent 34 33 32 31 30 3 -1 3 -2 3 -3 Value 81 27 9 3 1 1/3 1/9 1/27

Your Conclusions Any number or variable to the zero power is always equal to one. Zero Exponents Rule Any number or variable to a negative power is always equal to its reciprocal. Negative Exponents Rule

Remember!

Write in simplest form without negative or zero exponent Steps that you should follow when simplifying expressions with negative exponent: Step 1: take care of the exponents outside the parenthesis, Step 2: move the terms with negative exponent to the other side of the fraction, Step 3: cancel out like terms. 1) Step 2 move n-3 to the other side of the fraction = Step 3 simplify = 2) = Step 3 simplify

3) Step 1 take care of the exponents outside the parenthesis = Step 2 move y-15 to the other side of the fraction = 4) Step 1 take care of the exponents outside the parenthesis = = = Step 2 move 2 -2 , x-2 to the other side of the fraction Step 3 simplify

5) Step 2 move x-7 to the other side of the fraction = = Step 3 simplify = 6) Step 2 move b-3 to the other side of the fraction = = = Step 3 simplify

7) Step 1 take care of the exponents outside the parenthesis = Step 2 move c-4 to the other side of the fraction = 8) Step 1 take care of the exponents outside the parenthesis = = Step 2 move z-30 to the other side of the fraction

E G N E L L A CH 1) 2) = = =

Homework 1 – 8 + 21 – 42 all pages 218, 219