#OPYRIGHT-C$OUGAL,ITTELL(OUGHTON-IFFLIN#OMPANY ,ESSONs!LGEBRA.OTETAKING'UIDE

6/#!"5,!29

/RDEROFMAGNITUDE/i`iv>}`iv>>iivi>ii>

9OUR.OTES

02/$5#4/&0/7%2302/0%249,ETABEAREALNUMBERANDLETMANDNBEPOSITIVEINTEGERS

7ORDS 4OMULTIPLYPOWERSHAVINGTHESAMEBASE >``iii

!LGEBRA AM+ANA

%XAMPLE +

3IMPLIFYTHEEXPRESSION

A +

x

BW+W+WW

W n

C ++

{

x

D +

%XAMPLE 5SETHEPRODUCTOFPOWERSPROPERTY

7HENSIMPLIFYINGPOWERSWITHNUMERICALBASESONLYWRITEYOURANSWERSUSINGEXPONENTS

!PPLY%XPONENT0ROPERTIES)NVOLVING0RODUCTS'OAL +5SEPROPERTIESOFEXPONENTSINVOLVINGPRODUCTS

,ESSONs!LGEBRA.OTETAKING'UIDE #OPYRIGHT-C$OUGAL,ITTELL(OUGHTON-IFFLIN#OMPANY

9OUR.OTES 0/7%2/&!0/7%202/0%249,ETABEAREALNUMBERANDLETMANDNBEPOSITIVEINTEGERS

7ORDS 4OFINDAPOWEROFAPOWER ii

!LGEBRA AMNA

%XAMPLE {+ n

3IMPLIFYTHEEXPRESSION

A + B NN + N {

C QR x+ x

D QZzRZz +x Zz

%XAMPLE 5SETHEPOWEROFAPOWERPROPERTY

0/7%2/&!02/$5#402/0%249,ETAANDBBEREALNUMBERSANDLETMBEAPOSITIVEINTEGER

7ORDS 4OFINDAPOWEROFAPRODUCTFINDTHE ivi>Vv>V>`

!LGEBRA ABM >L

%XAMPLE + x+x

3IMPLIFYTHEEXPRESSION

A + {+

B RS++ + + CRS ++ + +

%XAMPLE 5SETHEPOWEROFAPRODUCTPROPERTY

7HENSIMPLIFYINGPOWERSWITHNUMERICALANDVARIABLEBASESEVALUATETHENUMERICALPOWER

#OPYRIGHT-C$OUGAL,ITTELL(OUGHTON-IFFLIN#OMPANY ,ESSONs!LGEBRA.OTETAKING'UIDE

9OUR.OTES

K+K+K P

QQR CD Z

n {V` x

#HECKPOINT 3IMPLIFYTHEEXPRESSION

3IMPLIFYX+XY

3OLUTIONX+XY +++ *iv>

`V PROPERTY

z z +++ *iv>i PROPERTY

z z *`Vvi PROPERTY

%XAMPLE 5SEALLTHREEPROPERTIES

X Y+Y

n

#HECKPOINT 3IMPLIFYTHEEXPRESSION

(OMEWORK