The document discusses rules for dividing exponents with the same base and scientific notation. It explains that when dividing exponents with the same base, such as a^m/a^n, the result is a^(m-n). It also discusses how to divide terms in scientific notation and raise quotients to powers according to the rules of exponents.

1. Division Properties of Exponents 06/01/09 PH 8-8 Bitsy Griffin

2. Dividing Powers – Same Base! For any nonzero number a and any integers m and n a m /a n = a m-n 3 7 /3 2 = 3 7-2 = 3 5 06/01/09 PH 8-8 Bitsy Griffin

3. Dividing Powers – Same Base! Remember – NO negative exponents! 5 9 /5 2 2 4 /2 3 3 2 /3 5 06/01/09 PH 8-8 Bitsy Griffin 5 3 /5 2 a 6 /a 14 (c -1 d 3 ) / (c 5 d -4 )

4. Scientific Notation You know the drill by now ;) (2 x 10 3 )/(8 x 10 8 ) (7.5 x 10 12 )/(2.5 x 10 -4 ) (4.2 x 10 5 )/(12.6 x 10 2 ) 06/01/09 PH 8-8 Bitsy Griffin

5. Scientific Notation You know the drill by now ;) (2 x 10 3 )/(8 x 10 8 ) (7.5 x 10 12 )/(2.5 x 10 -4 ) (4.2 x 10 5 )/(12.6 x 10 2 ) 06/01/09 PH 8-8 Bitsy Griffin

6. Raising a quotient to a power For any nonzero number a and b AND any integers n (a/b) n = a n /b n (4/5) 3 = 4 3 /5 3 = 64/125 06/01/09 PH 8-8 Bitsy Griffin

7. Raising a quotient to a power (4/x 2 ) 3 = 4 3 / ( x 2 ) 3 = 64/ x 6 06/01/09 PH 8-8 Bitsy Griffin (-3/5) -2 = (-3 ) -2 /5 -2 = 5 2 / (-3 ) 2 25/9

8. Raising a quotient to a power (4a 2 /b) 2 ( x -2 x 8 ) /x 2 (2m 5 / m 2 ) 4 (2n 5 t/ t 2 ) 2 06/01/09 PH 8-8 Bitsy Griffin