11 x1 t01 01 algebra & indices (2010)
TRANSCRIPT
Methods In AlgebraLike terms can be added or subtracted, unlike terms cannot.
Index Laws nm aa nma
Index Laws nm aa nma
nm aa nma
Index Laws nm aa nma
nm aa nma
nma mna
Index Laws nm aa nma
nm aa nma
nma mna
0a 1
Index Meaning: fractiontheoftop
Index Meaning: fractiontheoftop
: fractiontheofbottom
Index Meaning: fractiontheoftop
: fractiontheofbottom
ba
xpower
Index Meaning: fractiontheoftop
: fractiontheofbottom
ba
xpower
root
Index Meaning: fractiontheoftop
: fractiontheofbottom
ba
xpower
rootb ax
OR
ab x
Index Meaning: fractiontheoftop
: fractiontheofbottom
ba
xpower
rootb ax
OR
ab x
e.g. 3 )( xi
Index Meaning: fractiontheoftop
: fractiontheofbottom
ba
xpower
rootb ax
OR
ab x
e.g. 3 )( xi 31x
Index Meaning: fractiontheoftop
: fractiontheofbottom
ba
xpower
rootb ax
OR
ab x
e.g. 3 )( xi 31x 75 )( baii
Index Meaning: fractiontheoftop
: fractiontheofbottom
ba
xpower
rootb ax
OR
ab x
e.g. 3 )( xi 31x 75 )( baii 7
5
ba
294
43 )( baxiii
294
43 )( baxiii 24
9
43
bxa
294
43 )( baxiii 24
9
43
bxa
41
)( xiv
294
43 )( baxiii 24
9
43
bxa
41
)( xiv 4 x
294
43 )( baxiii 24
9
43
bxa
41
)( xiv 4 x
32
)( yv
294
43 )( baxiii 24
9
43
bxa
41
)( xiv 4 x
32
)( yv 3 2x
23
)( xvi
294
43 )( baxiii 24
9
43
bxa
41
)( xiv 4 x
32
)( yv 3 2x
23
)( xvi 3x
294
43 )( baxiii 24
9
43
bxa
41
)( xiv 4 x
32
)( yv 3 2x
23
)( xvi 3x
xx2
294
43 )( baxiii 24
9
43
bxa
41
)( xiv 4 x
32
)( yv 3 2x
23
)( xvi 3x
xx2
xx
294
43 )( baxiii 24
9
43
bxa
41
)( xiv 4 x
32
)( yv 3 2x
23
)( xvi 3x
xx2
xx
OR 23
x
see
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
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
427
)( mvii
427
)( mvii 4 36 mm
427
)( mvii 4 36 mm
696
7281
5006
21 )( rcqpnviii
427
)( mvii 4 36 mm
696
7281
5006
21 )( rcqpnviii
2
427
)( mvii 4 36 mm
696
7281
5006
21 )( rcqpnviii
2 6n
427
)( mvii 4 36 mm
696
7281
5006
21 )( rcqpnviii
2 6n
500p
427
)( mvii 4 36 mm
696
7281
5006
21 )( rcqpnviii
2 6n
500p28 q
427
)( mvii 4 36 mm
696
7281
5006
21 )( rcqpnviii
2 6n
500p28 q
6 cc
427
)( mvii 4 36 mm
696
7281
5006
21 )( rcqpnviii
2 6n
500p28 q
6 cc69r
427
)( mvii 4 36 mm
696
7281
5006
21 )( rcqpnviii
2 6n
500p28 q
6 cc69r
2
32 )(ix
427
)( mvii 4 36 mm
696
7281
5006
21 )( rcqpnviii
2 6n
500p28 q
6 cc69r
2
32 )(ix
2
23
427
)( mvii 4 36 mm
696
7281
5006
21 )( rcqpnviii
2 6n
500p28 q
6 cc69r
2
32 )(ix
2
23
49
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