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Division Properties Exponents
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- Slide 1: Division Properties of Exponents 02/15/08 PH 8-8 Bitsy Griffin 1
- Slide 2: Dividing Powers – Same Base! • For any nonzero number a and any integers m and n • am/an = am-n • 37/32 = 37-2= • 35 02/15/08 PH 8-8 Bitsy Griffin 2
- Slide 3: Dividing Powers – Same Base! • Remember – NO negative exponents! • 5 /5 9 2 • 53/52 • 2 /2 4 3 • a6/a14 • 3 /3 2 5 • (c-1d3) / (c5d-4) 02/15/08 PH 8-8 Bitsy Griffin 3
- Slide 4: Scientific Notation • You know the drill by now ;) • (2 x 103)/(8 x 108) • (7.5 x 1012)/(2.5 x 10-4) • (4.2 x 105)/(12.6 x 102) 02/15/08 PH 8-8 Bitsy Griffin 4
- Slide 5: Scientific Notation • You know the drill by now ;) • (2 x 103)/(8 x 108) • (7.5 x 1012)/(2.5 x 10-4) • (4.2 x 105)/(12.6 x 102) 02/15/08 PH 8-8 Bitsy Griffin 5
- Slide 6: Raising a quotient to a power • For any nonzero number a and b AND any integers n • (a/b) n = an/bn • (4/5) 3 = • 43/53 = • 64/125 02/15/08 PH 8-8 Bitsy Griffin 6
- Slide 7: Raising a quotient to a power • (4/x2) 3 = • (-3/5) -2 = • 4 3 / ( x2) 3 = • (-3 ) -2 /5 -2 = • 64/ x6 • 5 2 / (-3 ) 2 • 25/9 02/15/08 PH 8-8 Bitsy Griffin 7
- Slide 8: Raising a quotient to a power • (4a 2 /b) 2 • ( x-2 x8 ) /x 2 • (2m 5 / m 2 ) 4 • (2n 5t/ t 2 ) 2 02/15/08 PH 8-8 Bitsy Griffin 8
