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

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