2. How would you reduce 12/20? 12 = 4 * 3 = 3 20 4 * 5 5 You can divide the numerator and denominator of a fraction by the same nonzero number.

3. Cancellation Property of Fractions For all real numbers a, b, and c, such that b ≠ 0 and c ≠ 0, a * c = a b * c = b

4. What about a5/a2 ? a * a * a * a * a a * a = a * a * a = a3 x4 = 1 x6 = x2 y3/y3 = 1

5. Quotient of Powers For all real numbers b, (b≠0), and all positive integers m and n, if m > n then if m < n then if m = n then bm= bm-nbm= 1bm= bm = 1 bnbnbn-mbnbm

6. Try some: x8 (x≠0) x5 x7(x≠0) x7 x (x≠0) x5

7. Try some: -15a2b2 (a≠0, b≠0) 5ab8 18x3y4z (x≠0,y≠0, z≠0) 27x7y2z5 (3x5y)2(x≠0, y≠0) 6x4y3

8. Turn to page 209 Do 1-8