2. EXPONENT LAW 3 QUOTIENT OF POWERS x a  x b = x a-b x a  x b = x a-b Dividing Powers with the same base

3. x a  x b = x a-b ( Quotient of Powers) same base:To divide powers with the same base: KEEP THE SAME BASE SUBTRACT THE EXPONENTS EXAMPLE: 37323732 = 3 7-2 = 3535

4. WHY: 3 7 = (3x3x3x3x3x3x3) 3 2 = (3x3) = 3 5

5. EXAMPLE 1 3 4 x 3 5 3 3 393339333 = Products of Powers Quotient of Powers = 3636

6. EXAMPLE 2 2 18  2 9  2 3 2 18-9  2 3 2 9  2 3 2 12 Make sure you follow BEDMAS Quotient of Powers Product of Powers

7. EXAMPLE 3 4 6  5 1 4 2 = 46424642  511511 Quotient of Powers = 4 4  5 1 Not the same base so you are done!

8. EXAMPLE 4 7 6  6 8 (6 2 ) 3 = 761761  68666866 Power of Power ( Exponent Law 2) Quotient of Powers = 7 6  6 2 Not the same base so you are done!

9. TRY THESE 42  43  4442  43  4442  43  4442  43  44 8 13 8 4 5 4  3 9 (3 2 ) 3

10. CLASSWORK LESSON 2-3 HANDOUT