1. 8.1 Multiplication properties of exponents

2. Notes Product of powers Power of power Power of a product
am x an = a m+n
32 x 37 = = 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

3. 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

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

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

6. 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

7. 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

8. 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?

9. 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.

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