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Exponent Law #3

Exponent Law #3. Remember #1 and #2. In general : 1. X a X X b = X a + b. In general : 2. X a X b = X a - b. 3. Power of Powers. Expand the following:. 2 3. =. 2 X 2 X 2. Sometimes the base you are expanding is a power itself!. Expand the following:. (2 2 ) 3.

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Exponent Law #3

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  1. Exponent Law #3

  2. Remember #1 and #2 In general: 1. XaX Xb = Xa + b In general: 2. XaXb = Xa - b

  3. 3. Power of Powers Expand the following: 23 = 2 X 2 X 2 Sometimes the base you are expanding is a power itself!

  4. Expand the following: (22)3 22 X 22 X 22 = Expand this in the same way Which can be written as … = 2 X 2 X 2 X 2 X 2 X 2 How many 2s are you multiplying?... = 26

  5. Examine the exponents (22)3 = 26 What can you do with 2 and 3 to get 6? Multiply! Correct! This property is true for all power of powers with the same base.

  6. Reduce the following to a single power (27)2 1. 27 X 2 = 214 = 2. (43)4 43 X 4 = 412 = 3. (56)3 56 X3 = 518 =

  7. In General: EL #3 Let X be any base Let a and b be any exponent (Xa)b = X(ab)

  8. Congratulations!!You have just mastered the third exponent lawstop here

  9. Page 1276, 7[8,9] odd10

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