Review Evaluate the expression 9-2 x 120 Rewrite with positive exponents (2x3y-8)-3
8.3 division property of exponents
Notes Quotient of powers Power of a quotient Am / an = a m-n A can’t be 0 Ex: 37 / 35 = 3 7-5 = 32 Power of a quotient (a/b)m = am/bm B can’t be 0 Ex: (4/5)3 = 43/53
Use the quotient of powers property - T 42/4 83/ 85 (-2)3 / (-2) 53 / 55
Use quotient of powers property - ST c4/ c6 x7/x3 a10 / a5 -(m4) / m4
Using power of a quotient property - t (7/4)-3 (1/2)4
Use power of a quotient - st (3/m)3 (x2/5)2 (3/4)-3 (3/4)2 (a3/b2)4 (1/2)-2
Simplify the expression - t a12 x 1/a3 (t3)2 / (t2)3 2a2b x 9ab2 3a b4 (y3/y5)-2 (x5/x3)-1 (2x/y2)4
Simplify the expression - St x7/x2 (2z)4/3z2 (2/x)6 (2a2b/2ab3)2 a5 x 1/a8 m4 x m2 / m7
Word Problem - T The number of shares N (in billions) listed on the New York Stock Exchange from 1977 through 1997 can be modeled by: N = 92.56 x (1.112)t Where T = 0 represents 1990. Find the ratio of shares listed in 1997 to the shares of 1977.
Word Problem - ST The average salary of a professional baseball player in the U.S. can be approximated by: Y = 283(1.2)t Where T=0 and represents the year 1984. Using the approximation, find the ratio of an average salary in 1988 to average salary in 1994.
Wrap up Questions/Comments Hw: Text pg. 466, #’s: 20-48 evens, 54