MULITIPLICATION PROPERTIES OF EXPONENTS September 17, 2012.
43
MULITIPLICATION MULITIPLICATION PROPERTIES OF EXPONENTS PROPERTIES OF EXPONENTS September 17, 2012
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Transcript of MULITIPLICATION PROPERTIES OF EXPONENTS September 17, 2012.
MULITIPLICATION MULITIPLICATION PROPERTIES OF PROPERTIES OF
EXPONENTSEXPONENTSSeptember 17, 2012
Basic TerminologyBasic Terminology
.
.
TIONMULTIPLICA
repeatedundergoesthatVariableornumbertheBase
factoraasusedis
basethetimesofnumbertheExponent
42BASE
EXPONENTmeans 162222
Important Examples
Variable ExpressionsVariable Expressions
))()((
))()()()(()(
3
5
yyymeansy
xxxxxtionmultiplicaforsparentheseusemeansx
MULTIPLICATION MULTIPLICATION PROPERTIESPROPERTIES
PRODUCT OF POWERSThis property is used to combine 2 or more exponential expressions with the SAME base.
53 22 )222( )22222( 82 256
))(( 43 xx ))()(( xxx ))()()(( xxxx 7x
I DO:Multiplying Powers with the Same Base
A. 46 • 68
B. k8 • k10
k 18
k8 + 10
Add exponents.
Add exponents.
Multiply. Write the product as one power.
D. 189 • 1811
C. 76 • 7
7 7
7 6 + 1
1820
18 9 + 11
Think: 7 = 7 1
WE DO : Multiplying Powers with the Same Base
Multiply. Write the product as one power.
Add exponents.
Add exponents.
YOU DO:
A. 35 • 32
37
35 + 2
B. c22 • c11
c 33
c 22 + 11
Add exponents.
Add exponents.
Multiply. Write the product as one power.
MULTIPLICATION MULTIPLICATION PROPERTIESPROPERTIES
POWER TO A POWERThis property is used to write an exponential expression as a single power of the base.
32 )5( )5)(5)(5( 222 65
42 )(x ))()()(( 2222 xxxx 8x
RAISING A POWER TO A POWER
Reading Math
(9 ) is read as “nine to the fourth, to the fifth.”54
Simplify.
Multiply exponents.
I DO: Raising a Power to a Power
A. (10-2)2
(10-2)2
= 10-2 • 2
= 10-4
B. (612)4
(612)4
= 612 • 4
= 648
Multiply exponents.
Simplify.
Multiply exponents.
WE DO:
A. (311)4
(311)4
= 311 • 4
= 344
B. (415)2
(415)2
= 415 • 2
= 430
Multiply exponents.
Simplify.
Multiply exponents.
YOU DO:
A. (912)6
(912)6
= 912 • 6
= 972
B. (11-4)2
(11-4)2
= 11-4 • 2
= 11-8
Multiply exponents.
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Power of a Product PropertyPower of a Product PropertyTo find a power of a product, find the
power of EACH factor and multiply.
I DO:
333333 644)4( zyzyyz
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Practice Power of a Practice Power of a Product PropertyProduct Property
1. We DO:
2. You Do:
6)2( mn
3
8
6
4)(abc
2
4
2
MULTIPLICATION MULTIPLICATION PROPERTIESPROPERTIESSUMMARY
PRODUCT OF POWERSbaba xxx
POWER TO A POWER baba xx
ADD THE EXPONENTS
MULTIPLY THE EXPONENTS
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Review Multiplication Properties Review Multiplication Properties of Exponentsof Exponents
Product of Powers Property—To multiply powers that have the same base, ADD the exponents.
Power of a Power Property—To find a power of a power, multiply the exponents.
Power of a Product Property—To find a power of a product, find the power of each factor and multiply.
Exponent MATHOExponent MATHO
Place the numbers at in any spot on you MATHO card.
Be sure to show all your work for each problem to get participation points.
1st Winner2nd Winner 3rd Winner
1. 1. nn33 nn44
2. 8 • 82. 8 • 888
3. (33. (333))44
4. 34. 333 • 3 • 322 • 3 • 355
5.5. 414122 • 41 • 4177
6. (176. (1722) ) –20–20
7. 7. xx5 5 • • yy22
8.8. x x22 • • xx33
9. (69. (677))99
10. (1310. (1344) ) –10–10
11. 411. 422 • • 4444
12. 212. 25 5 • 2• 2
13. (513. (544))22
14. 14. (9(9-8-8))99
15.15. 242444 • 24 • 2444
16.16. n n55 • • nn77
17. (417. (488))22
18. 818. 866 • • 8833
19. 419. 466 • 4 • 444 • 4 • 422
20. 620. 666 • • 6633
21. 1221. 1266 • • 12121010
22. (1022. (1055))-6-6
23. 923. 91111 • • 99-3-3
24. (1024. (1088))66
25. 825. 866 • • 88-12-12
