Multiplying & Dividing Exponents

1. 4.7 & 4.8 Multiplying & Dividing Exponents
October 24, 2013
Write using exponents
1. k k k k
2. m n m n
3. 5 5 5
4. 3 3 r r
Bellwork
Objective: laws of exponents
Nov 24­7:16 PM
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2. 4.7 & 4.8 Multiplying & Dividing Exponents
October 24, 2013
Multiplying Powers with the same base ­
Add the exponents
72 73
Nov 24­7:28 PM
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2

3. 4.7 & 4.8 Multiplying & Dividing Exponents
October 24, 2013
Simplify each expression.
3 33
a5 a b2
m5 m7
x2 x3 y y4
Nov 24­7:32 PM
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3

4. 4.7 & 4.8 Multiplying & Dividing Exponents
October 24, 2013
Simplify each expression.
6a3 3a
­5c2 ­3c7
Nov 24­7:34 PM
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5. 4.7 & 4.8 Multiplying & Dividing Exponents
October 24, 2013
Power to a Power ­ multiply the exponents
3
(7 )
2
Nov 24­7:36 PM
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5

6. 4.7 & 4.8 Multiplying & Dividing Exponents
October 24, 2013
Simplify each expression.
3
()
()
32
2
a6
Nov 24­7:39 PM
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6

7. 4.7 & 4.8 Multiplying & Dividing Exponents
October 24, 2013
Write in simplest form.
1. x2
x
3. 3c2 * 2c4
2. 6xy
9y
4. w 3t3 * t4w7
Objective: divide and simplify exponents
Oct 24­11:54 AM
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7

8. 4.7 & 4.8 Multiplying & Dividing Exponents
October 24, 2013
78
73
Dividing powers with the same base ‐ subtract the exponents
x4
x2
3
35
8
Oct 24­11:54 AM
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8

9. 4.7 & 4.8 Multiplying & Dividing Exponents
x25
x18
October 24, 2013
12m5
3m
Oct 24­11:55 AM
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9

10. 4.7 & 4.8 Multiplying & Dividing Exponents
3
34
4
October 24, 2013
When we have an exponent of zero the answer is
(‐8)2
(‐8)2
6b3
18b3
Oct 24­11:55 AM
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11. 4.7 & 4.8 Multiplying & Dividing Exponents
October 24, 2013
x5y6
x5y3
43
0
Oct 24­11:55 AM
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11

12. 4.7 & 4.8 Multiplying & Dividing Exponents
October 24, 2013
32
34
negative exponents ‐ how do we make them positive?
Oct 24­11:56 AM
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13. 4.7 & 4.8 Multiplying & Dividing Exponents
October 24, 2013
m2
m5
56
58
3y8
9y12
Oct 24­11:56 AM
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13

14. 4.7 & 4.8 Multiplying & Dividing Exponents
October 24, 2013
Write x2y3 without a fraction bar.
x 3y
m3n2
m6n8
Oct 24­11:56 AM
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15. 4.7 & 4.8 Multiplying & Dividing Exponents
October 24, 2013
HW worksheet
Oct 24­11:57 AM
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15