Name
LESSON
1-4
Date
Class
Practice B
Powers and Exponents
Write the power represented by each geometric model.
1.
2.
3.
5
5
72
3
33
Evaluate each expression.
4. 2
4
5. (3) 3
6.
__25 2
4
___
27
16
7. 3 5
8. (10) 4
25
9.
__34 9
___
10,000
243
2
16
Write each number as a power of the given base.
10. 16; base 2
11. 1,000,000; base 10
10 6
24
(6) 3
8 ; base __
2
15. ___
27
3
14. 256; base 4
13. 2401; base 7
7
12. 216; base 6
4
(4)
4
3 2
__
3
16. Anna needed to let everyone in the music club know the time
of its next meeting. She called two people and asked each of
them to call two other people, and so on. If each phone call takes
one minute, how many phone calls were made during the fifth minute?
2 5 32
Copyright © by Holt, Rinehart and Winston.
All rights reserved.
A1CRB07C01L04.indd 28
28
Holt Algebra 1
12/20/05 5:23:20 PM
Process Black
,%33/.
£‡{
*À>V̈ViÊ
0OWERSAND%XPONENTS
£‡{
7RITETHEPOWERREPRESENTEDBYEACHGEOMETRICMODEL
7RITETHEPOWERREPRESENTEDBYEACHGEOMETRICMODEL
ssssss
ssssss
ssssss
ssssss
ssssss
ssssss
S D
???
S D
??
??
%VALUATEEACHEXPRESSION
S D
??
%VALUATEEACHEXPRESSION
*À>V̈ViÊ
0OWERSAND%XPONENTS
,%33/.
??
BASE
BASE
BASE
BASE
BASE
BASE
???
BASE??
S D
BASE
??
BASE
£‡{
(OLT !LGEBRA £‡{
7RITETHEPOWERORSUMOFPOWERSREPRESENTEDBYEACHGEOMETRIC
MODEL
(OLT!LGEBRA
,iÌi>V…
0OWERSAND%XPONENTS
,%33/.
#OPYRIGHT©BY(OLT2INEHARTAND7INSTON
!LLRIGHTSRESERVED
*À>V̈ViÊ
0OWERSAND%XPONENTS
,%33/.
S D
??
!NNANEEDEDTOLETEVERYONEINTHEMUSICCLUBKNOWTHETIME
OFITSNEXTMEETING3HECALLEDTWOPEOPLEANDASKEDEACHOF
THEMTOCALLTWOOTHERPEOPLEANDSOON)FEACHPHONECALLTAKES
ONEMINUTEHOWMANYPHONECALLSWEREMADEDURINGTHEFIFTHMINUTE
FT
#OPYRIGHT©BY(OLT2INEHARTAND7INSTON
!LLRIGHTSRESERVED
BASE??
???
BASE
SIDEHASTHESAMELENGTH/NEOFTHESIDESMEASURESFEET
7HATISTHEVOLUMEOFTHElSHTANK
BASE
!FISHTANKISINTHESHAPEOFACUBEWHICHMEANSEACH
7RITEEACHNUMBERASAPOWEROFTHEGIVENBASE
???
7RITEEACHNUMBERASAPOWEROFTHEGIVENBASE
!POWERISANEXPRESSIONTHATREPRESENTSREPEATEDMULTIPLICATIONOFAFACTOR
4HEFACTORISTHEBASEANDTHENUMBEROFTIMESITISUSEDASAFACTORISTHE
EXPONENT0AYATTENTIONTOPARENTHESESWHICHTELLYOUHOWMUCHOFTHE
EXPRESSIONTHEEXPONENTINFLUENCES
??
0OWER
"ASE
%XPONENT
sss
sss
sss
S D
4OEVALUATEAPOWERPERFORMTHEREPEATEDMULTIPLICATION
??
S D
%VALUATE ??
4HEREAREPARENTHESESSOTHEEXPONENTINFLUENCESTHENEGATIVEANDTHEFRACTION
%VALUATEEACHEXPRESSION
S D
BASE
BASE
S D
??
BASE
BASE??
??
S D
#OPYRIGHT©BY(OLT2INEHARTAND7INSTON
!LLRIGHTSRESERVED
s
ssss
S D
??
???
??
TIMES
Copyright © by Holt, Rinehart and Winston.
All rights reserved.
AK4up.indd 73
s ??
??
s ??
s ??
s ??
s ??
s ??
%VALUATEEACHEXPRESSION
2YANNOTICESTHATWHENHEFOLDSAPIECEOFPAPERONETIME
THENUNFOLDSITHESEESTWOSECTIONS7HENHEFOLDSHISPAPER
TWICETHENUNFOLDSITHESEESSECTIONS(OWMANYTIMES
MUST2YANFOLDHISPAPERIFHEWOULDLIKETOGETSECTIONS
sssss
??
S D S D S D
D S D
????
BASE??
S
7RITETHEEXPANDEDFORMOFEACHPOWER
7RITEEACHNUMBERASAPOWEROFTHEGIVENBASE
BASE
??
??
??
??
??
???
-ULTIPLYTWOOFTHEFACTORS!NEGATIVETIMESANEGATIVEISPOSITIVE
????
-ULTIPLYAGAIN!POSITIVETIMESANEGATIVEISNEGATIVE
????
S D
??
%XPANDED&ORM
(OLT !LGEBRA #OPYRIGHT©BY(OLT2INEHARTAND7INSTON
!LLRIGHTSRESERVED
73
(OLT!LGEBRA
Holt Algebra 1
12/22/05 6:31:13 PM