1. Laws of Exponent Review

2. Laws of Exponent Law of Zero Exponent a º = 1 Law of Negative Exponent a -n = 1/ a n ; 1/ a -n = a n Law of Multiplying Powers of Same Bases (Product of Powers ) a n a m = a n+m

3. Multiplication Properties You can use what you have learned in the previous lesson to find the pattern to multiply powers. Activity: 1.( 3 6 ) 2 = 3 6 3 6 = 3 6+6 = 3 12 2.(5 4 ) 3 = 3.(m 3 ) 2 = 4.(c 3 ) 4 =

4. Properties of Multiplying Powers Rule of Power of a Power ( a n ) m = a nm so…… you simply multiply the exponents Try ! 1.(8 3 ) 4 = 2.(b 5 ) 2 = 3.(c 3 ) 2 c 4 = 4.(d 3 ) 5 d 0 =

5. Properties of Multiplying Powers How about this : 1.(2x ) 2 = 2 2 1 x 2 1 = 2 2 x 2 = 4x 2 2.(3 2 m 3 n ) 2 = 3 2 2 m 3 2 n 1 2 = 3 4 m 6 n 2 = 81m 6 n 2 3.(4 a 3 b 4 c 5 ) 3 = What do you do when raising a product to a power? …. multiply the exponent( inside ) of each factor with the exponent outside

6. Properties of Multiplying Powers Rule : Power of a Product Try! 1.(2x 4 ) 3 = 2.(3 2 g 4 ) 2 = 3.(y -2 ) 2 (3xy 2 ) 4 = 4.(5m 2 n -2 ) 3 =

7. Dividing Powers How will you do this? If we write out all the multiples we get: Or you could have done like this:

8. Dividing Powers Remember this Activity? Same BaseExpandedPower Form

9. Dividing Powers So…Subtract the exponents when dividing powers of the same base! Rule: Quotient of Powers

10. Dividing Powers Try!

11. Dividing Powers How about this? Write out all the multiples 1.

12. Dividing Powers 2. expanding:

13. Dividing Powers Rule : Power of a Quotient 1. Try! 2. 3.

14. Summary Laws of Exponent * * * *

15. Summary Laws of Exponent * * *