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# 8 1 mult exponents - day 1

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### 8 1 mult exponents - day 1

1. 1. Chapter 8 Exponents8.1 Apply Exponent Properties Involving Products P. 489
2. 2. Take a look at page 488 What patterns can you see from these examples? What conclusions can you draw?
3. 3. • This chapter will introduce you to the different properties of exponents. We will look at1. Multiplication Properties2. Division Properties3. Zero and Negative Exponents4. Scientific Notation
4. 4. • Let’s look at the multiplication properties. When multiplying two powers that have the same base, you see: 3 4 a a aaa  aaaa 3 4 7 So a a a
5. 5. P. 489 – Key Concept• Product of Powers Property To multiply powers having the same base, add the exponents. m n m n a a a 3 7 10 33 3
6. 6. 4xx 4 5 6y y y 3 102 2 2 4( 5) ( 5)
7. 7. P. 490 Key Concept• Power of a Power Property• To find a power of a power, multiply the exponents. m n m n (a ) a 2 4 2 4 8 (5 ) 5 5
8. 8. 2 3(5 ) 3 6(x ) 3 4[( 2) ]
9. 9. P. 490 – Key Concept• Power of a Product Property To find the power of a product, find the power of each factor and multiply. m m m (a ) b a b 2 2 2 (65) 6 5 3625 900
10. 10. 2(34) 3(3xy ) 2( 3 y) 2 (3 y )
11. 11. Using All Three Properties 2 3 5 (4 x y ) x 3 2 2 4 5 (2 x y ) x y
12. 12. Simplify 3 2 3 4( 10 x ) ( x )
13. 13. • Assignment P. 492 #3 - 30• Copy each problem, then simplify