Download - 11 x1 t01 01 algebra & indices (2013)

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Page 1: 11 x1 t01 01 algebra & indices (2013)

Methods In AlgebraLike terms can be added or subtracted, unlike terms cannot.

Page 2: 11 x1 t01 01 algebra & indices (2013)

Index Laws nm aa nma

Page 3: 11 x1 t01 01 algebra & indices (2013)

Index Laws nm aa nma

nm aa nma

Page 4: 11 x1 t01 01 algebra & indices (2013)

Index Laws nm aa nma

nm aa nma

nma mna

Page 5: 11 x1 t01 01 algebra & indices (2013)

Index Laws nm aa nma

nm aa nma

nma mna

0a 1

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Index Meaning: fractiontheoftop

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Index Meaning: fractiontheoftop

: fractiontheofbottom

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Index Meaning: fractiontheoftop

: fractiontheofbottom

ba

xpower

Page 9: 11 x1 t01 01 algebra & indices (2013)

Index Meaning: fractiontheoftop

: fractiontheofbottom

ba

xpower

root

Page 10: 11 x1 t01 01 algebra & indices (2013)

Index Meaning: fractiontheoftop

: fractiontheofbottom

ba

xpower

rootb ax

OR

ab x

Page 11: 11 x1 t01 01 algebra & indices (2013)

Index Meaning: fractiontheoftop

: fractiontheofbottom

ba

xpower

rootb ax

OR

ab x

e.g. 3 )( xi

Page 12: 11 x1 t01 01 algebra & indices (2013)

Index Meaning: fractiontheoftop

: fractiontheofbottom

ba

xpower

rootb ax

OR

ab x

e.g. 3 )( xi 31x

Page 13: 11 x1 t01 01 algebra & indices (2013)

Index Meaning: fractiontheoftop

: fractiontheofbottom

ba

xpower

rootb ax

OR

ab x

e.g. 3 )( xi 31x 75 )( baii

Page 14: 11 x1 t01 01 algebra & indices (2013)

Index Meaning: fractiontheoftop

: fractiontheofbottom

ba

xpower

rootb ax

OR

ab x

e.g. 3 )( xi 31x 75 )( baii 7

5

ba

Page 15: 11 x1 t01 01 algebra & indices (2013)

294

43 )( baxiii

Page 16: 11 x1 t01 01 algebra & indices (2013)

294

43 )( baxiii 24

9

43

bxa

Page 17: 11 x1 t01 01 algebra & indices (2013)

294

43 )( baxiii 24

9

43

bxa

41

)( xiv

Page 18: 11 x1 t01 01 algebra & indices (2013)

294

43 )( baxiii 24

9

43

bxa

41

)( xiv 4 x

Page 19: 11 x1 t01 01 algebra & indices (2013)

294

43 )( baxiii 24

9

43

bxa

41

)( xiv 4 x

32

)( yv

Page 20: 11 x1 t01 01 algebra & indices (2013)

294

43 )( baxiii 24

9

43

bxa

41

)( xiv 4 x

32

)( yv 3 2x

23

)( xvi

Page 21: 11 x1 t01 01 algebra & indices (2013)

294

43 )( baxiii 24

9

43

bxa

41

)( xiv 4 x

32

)( yv 3 2x

23

)( xvi 3x

Page 22: 11 x1 t01 01 algebra & indices (2013)

294

43 )( baxiii 24

9

43

bxa

41

)( xiv 4 x

32

)( yv 3 2x

23

)( xvi 3x

xx2

Page 23: 11 x1 t01 01 algebra & indices (2013)

294

43 )( baxiii 24

9

43

bxa

41

)( xiv 4 x

32

)( yv 3 2x

23

)( xvi 3x

xx2

xx

Page 24: 11 x1 t01 01 algebra & indices (2013)

294

43 )( baxiii 24

9

43

bxa

41

)( xiv 4 x

32

)( yv 3 2x

23

)( xvi 3x

xx2

xx

OR 23

x

see

Page 25: 11 x1 t01 01 algebra & indices (2013)

294

43 )( baxiii 24

9

43

bxa

41

)( xiv 4 x

32

)( yv 3 2x

23

)( xvi 3x

xx2

xx

OR 23

x

see

211

x

think

Page 26: 11 x1 t01 01 algebra & indices (2013)

294

43 )( baxiii 24

9

43

bxa

41

)( xiv 4 x

32

)( yv 3 2x

23

)( xvi 3x

xx2

xx

OR 23

x

see

211

x

think

xx

1x and 21

x

Page 27: 11 x1 t01 01 algebra & indices (2013)

427

)( mvii

Page 28: 11 x1 t01 01 algebra & indices (2013)

427

)( mvii 4 36 mm

Page 29: 11 x1 t01 01 algebra & indices (2013)

427

)( mvii 4 36 mm

696

7281

5006

21 )( rcqpnviii

Page 30: 11 x1 t01 01 algebra & indices (2013)

427

)( mvii 4 36 mm

696

7281

5006

21 )( rcqpnviii

2

Page 31: 11 x1 t01 01 algebra & indices (2013)

427

)( mvii 4 36 mm

696

7281

5006

21 )( rcqpnviii

2 6n

Page 32: 11 x1 t01 01 algebra & indices (2013)

427

)( mvii 4 36 mm

696

7281

5006

21 )( rcqpnviii

2 6n

500p

Page 33: 11 x1 t01 01 algebra & indices (2013)

427

)( mvii 4 36 mm

696

7281

5006

21 )( rcqpnviii

2 6n

500p28 q

Page 34: 11 x1 t01 01 algebra & indices (2013)

427

)( mvii 4 36 mm

696

7281

5006

21 )( rcqpnviii

2 6n

500p28 q

6 cc

Page 35: 11 x1 t01 01 algebra & indices (2013)

427

)( mvii 4 36 mm

696

7281

5006

21 )( rcqpnviii

2 6n

500p28 q

6 cc69r

Page 36: 11 x1 t01 01 algebra & indices (2013)

427

)( mvii 4 36 mm

696

7281

5006

21 )( rcqpnviii

2 6n

500p28 q

6 cc69r

2

32 )(ix

Page 37: 11 x1 t01 01 algebra & indices (2013)

427

)( mvii 4 36 mm

696

7281

5006

21 )( rcqpnviii

2 6n

500p28 q

6 cc69r

2

32 )(ix

2

23

Page 38: 11 x1 t01 01 algebra & indices (2013)

427

)( mvii 4 36 mm

696

7281

5006

21 )( rcqpnviii

2 6n

500p28 q

6 cc69r

2

32 )(ix

2

23

49

Page 39: 11 x1 t01 01 algebra & indices (2013)

427

)( mvii 4 36 mm

696

7281

5006

21 )( rcqpnviii

2 6n

500p28 q

6 cc69r

2

32 )(ix

2

23

49

Exercise 1A; 1c, 2d, 3b, 4d, 5b, 6ad, 7bc, 8a, 9b, 10d, 11cf, 12ac, 13bd, 15, 17, 18*

Exercise 6A; 1adgi, 2behj, 3ace, 4ace, 5bdfh, 6ace, 7adgj, 8behj, 9bd