8.1 Multiplication properties of exponents

Notes Product of powers Power of power Power of a product am x an = a m+n 32 x 37 = 3 2+7 = 39 Power of power (am)n = a m x n (52)5 = a10 Power of a product (a x b)m = am x bm (2 x 3)6 = 26 x 46 64 x 4096 = 262,144

Use product of powers – T/st 2 x 2 a x a x a n3 x n2 m2 x m x m5 y5 x y2

Use power of a power – T/St (2)3 (-3)3 (22)4 (x4)2 (y4)3

Use power of a product – T/st (2y)2 (6 x 5)2 (4yz)3 (-2w)2 -(2w)2

Use all properties if needed – t/st (4a2y)3 x a5 (-2a)3(-x2) (xy)3(z6)2 (-y3)(2y)2 (8ab)2 x 4a9

Simplify then evaluate when a = 2 and y = 2 – t/st y2 x y4 (a x y3)3 (a2)2 (y4 x y) x (a)4

Word Problem - b A multiple choice test has 2 parts. There are 412 ways to answer 12 questions to part A and 45 ways to answer 5 questions in part B. How many ways are there to answer all 17 questions? If you guess each answer, what’s the probability you get them all correct?

Word problem - b Someone offers to double the amount of money every day for 30 days. You have 1 nickel. One the first day you will have 2 nickels worth $.10. On the second day, you have 4 nickels worth $.20. How much money will you have on the 30th day. Use the expression .05 x (2)30 to answer the question.

Wrap up Questions/Comments Hw: text pg. 453, #’s: 22 – 54 evens, 60, 64, 76