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Define and Use Zero and Negative Exponents Section 8-3 Define and Use Zero and Negative Exponents
Definition of Zero Exponents ● a to the zero power is ALWAYS 1. Example: a0 = 1 OR 50 = 1 Definition of Zero Exponents a-n is the reciprocal of an. Example: a-n = 1 OR 2-1 = 1 an 2
Example 1 Use the definition of zero and negative exponents: 6-2 = x0 = 2 -2 = 3 4. 0-7 = 1 = 62 1 36 1 1 = 07 1 = Undefined
Example 2 Evaluate exponential expressions: (-2)5 • (-2)-5 = 2. (33)-2 = 3. 1 = 8-2 73 = 75 (-2)5 + -5 = (-2)0 = 1 1 = 36 1 729 33•-2 = 3-6 = 82 = 64 73-5 = 7-2 = 1 = 72 1 49
Example 3 Simplify the expression. Write your answer using only positive exponents: (3x-2y2)3 = 2. 4x-2y4 = 8xy6 33 • x-2•3 • y2•3 = 27x-6y6 = 27y6 x6 1• = 2 x-2-1 • y4-6 1x-3y-2 = 2 1_ 2x3y2
Homework Section 8-3 Page 506 – 508 4,5, 7- 9, 11, 12, 14, 15, 18, 19, 21, 22, 24, 28 - 30, 33 - 36, 39, 43