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# Algebra 6 Point 3

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### Algebra 6 Point 3

1. 1. 6.3 Dividing Monomials<br />Objective: <br /><ul><li>To divide monomials</li></ul>Frameworks: 10.P.1, 10.P.7<br />
2. 2. How would you reduce 12/20?<br />12 = 4 * 3 = 3<br />20 4 * 5 5<br />You can divide the numerator and denominator of a fraction by the same nonzero number.<br />
3. 3. Cancellation Property of Fractions<br />For all real numbers a, b, and c, such that b ≠ 0 and c ≠ 0,<br />a * c = a<br />b * c = b<br />
4. 4. What about a5/a2 ?<br />a * a * a * a * a<br /> a * a<br /> = a * a * a<br /> = a3<br />x4 = 1<br />x6 = x2<br />y3/y3 = 1<br />
5. 5. Quotient of Powers<br />For all real numbers b, (b≠0), and all positive integers m and n,<br />if m > n then if m < n then if m = n then<br />bm= bm-nbm= 1bm= bm = 1<br />bnbnbn-mbnbm<br />
6. 6. Try some:<br />x8 (x≠0)<br />x5<br />x7(x≠0)<br />x7<br />x (x≠0)<br />x5<br />
7. 7. Try some:<br />-15a2b2 (a≠0, b≠0)<br />5ab8<br />18x3y4z (x≠0,y≠0, z≠0)<br />27x7y2z5<br />(3x5y)2(x≠0, y≠0)<br />6x4y3<br />
8. 8. Turn to page 209<br />Do 1-8<br />