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# 8 4 Negative And Zero Exponents

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### 8 4 Negative And Zero Exponents

1. 1. Negative and Zero Exponents Algebra I Chapter 8.4
2. 2. Negative Integers do NOT mean negative numbers
3. 3. Numbers to the Zero Power <ul><li>Every number to the Zero Power, such as 5 0 = 1. </li></ul><ul><li>We can use last lesson’s division of powers as a proof. </li></ul>
4. 4. Using division to prove <ul><li>Any number divided by itself equals 1. </li></ul><ul><li>Using the Quotient of Powers Property, the exponents would be subtracted. </li></ul><ul><li>6 5-5 = 6 0 = 1 </li></ul>
5. 5. Negative Exponents <ul><li>Negative Exponents do not mean negative numbers. </li></ul><ul><ul><li>4 -5 = </li></ul></ul><ul><ul><li>3 -2 = </li></ul></ul><ul><ul><li>7 -4 = </li></ul></ul>
6. 6. Solve. <ul><li>c -4 * c 4 </li></ul><ul><li>d 4 f 3 = d 4-6 f 3-3 =d -2 f 0 = </li></ul><ul><li>d 6 f 3 </li></ul>
7. 7. Simplify. <ul><li>b 6 *b -2 =b 4 = 1 </li></ul><ul><li>b 4 b 4 </li></ul><ul><li>-3y -2 </li></ul><ul><li>-6p -7 </li></ul><ul><li>8a 4 b 7 c -4 </li></ul><ul><li>3a 6 b -6 c -4 </li></ul>
8. 8. Simplify. <ul><li>- 3y -2 = -3 </li></ul><ul><li>y 2 </li></ul><ul><li>-6p -7 = -6 </li></ul><ul><li>p 7 </li></ul><ul><li>8a 4 b 7 c -4 = 8 a 4-6 b 7--6 c -4--4 = 8 b 13 </li></ul><ul><li>3a 6 b -6 c -4 3 3 a 2 </li></ul><ul><li>** (c 0 =1 which when multiplied is no longer part of the answer. </li></ul>