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Multiplying Exponents Powers with the Same Base

  How could you write

  6 x 6 x 6 x 6

  as a power?


  How could you write

  6 x 6 x 6

  as a power?



So how do you think you could write

(6 x 6 x 6 x 6) x (6 x 6 x 6)

as a power?




So if we write that using powers only




                                                          1
Multiplication of powers with the same 
base

The rule

      (am)(an) = am+n

Which reads when you multiply two 
powers with the same base

Keep the base and add the 
exponents
Example

114 x 112 = 114+2 = 116

Examples write each as a single power

a)


b) 


c)




                                          2
What do you get when you

Divide as repeated multiplication   Divide as powers

2 x 2 x 2 x 2 x 2 x 2 x 2           27

by                                  by

2 x 2 x 2                           23




                                                       3
Dividing Powers Rule

 am
 an   = am÷ an = am­n

When you divide a power by a power and they have the 
same bases
Keep the base and subtract the exponents


Examples




                                                        4
Assignment

Read pages 99­ 102

Do questions 5­13 on page 106




                                5

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Nov. 17 Multiply And Divide Exponent Rules