11 x1 t01 01 algebra & indices (2013)

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Transcript of 11 x1 t01 01 algebra & indices (2013)

1. Methods In Algebra Like terms can be added or subtracted, unlike terms cannot. 2. Index Lawsa m a n a m n 3. Index Lawsa m a n a m na m a n a mn 4. Index Lawsa m a n a m na m a n a mna m n a mn 5. Index Lawsa m a n a m na m a n a mna m n a mn a0 1 6. Index Meaning : top of the fraction 7. Index Meaning : top of the fraction : bottom of the fraction 8. Index Meaning : top of the fraction : bottom of the fraction a power b x 9. Index Meaning : top of the fraction : bottom of the fraction a power b xroot 10. Index Meaning : top of the fraction : bottom of the fraction a power x broot b xa OR x ba 11. Index Meaning : top of the fraction : bottom of the fraction a power x broot b xa OR x bae.g. (i ) x 3 12. Index Meaning : top of the fraction : bottom of the fraction a power x broot b xa OR x ba3 1e.g. (i ) x 3 x 13. Index Meaning : top of the fraction : bottom of the fraction a power x broot b xa OR x ba3 1e.g. (i ) x 3 (ii ) a 5b 7 x 14. Index Meaning : top of the fraction : bottom of the fraction a power x broot b xa OR x b a3 1a5e.g. (i ) x 3 (ii ) a 5b 7 7 xb 15. 3(iii ) x 4 a 9b 2 4 16. 3 3a 9(iii ) x 4 a 9b 2 4 244x b 17. 3 3a 9(iii ) x 4 a 9b 2 4 244x b1(iv) x 4 18. 3 3a 9(iii ) x 4 a 9b 2 4 244x b1(iv) x 44 x 19. 3 3a 9(iii ) x 4 a 9b 2 4 244x b1(iv) x 44 x 2 (v ) y 3 20. 3 3a 9(iii ) x 4 a 9b 2 4 244x b1(iv) x 44 x 2 (v ) y 33 x2 3 (vi ) x 2 21. 3 3a 9(iii ) x 4 a 9b 2 4 244x b1(iv) x 44 x 2 (v ) y 33 x2 3 (vi ) x 2 x3 22. 3 3a 9(iii ) x 4 a 9b 2 4 244x b1(iv) x 44 x 2 (v ) y 33 x2 3 (vi ) x 2 x3 x2 x 23. 3 3a 9(iii ) x 4 a 9b 2 4 244x b1(iv) x 44 x 2 (v ) y 33 x2 3 (vi ) x 2 x3 x2 x x x 24. 33a 9(iii ) x 4 a 9b 2 4 24 4x b1(iv) x 44 x 2 (v ) y 33 x2 see 3 3 (vi ) x 2 x 3OR x 2 x2 x x x 25. 33a 9(iii ) x 4 a 9b 2 4 24 4x b1(iv) x 44 x 2 (v ) y 33 x2 seethink 3 3 1 (vi) x 1OR x 2 3 x 2 x2 x2 x x x 26. 33a 9(iii ) x 4 a 9b 2 4 24 4x b1(iv) x 44 x 2 (v ) y 33 x2 see think 3 31 (vi) x 1OR x 2 3 x 2 x 2 x2 xx x x x1 1 x and x 2 27. 27(vii ) m4 28. 27 m m464 3(vii ) m 29. 27 m m464 3(vii ) m 17 1 6 500 28 6 69(viii ) n p q c r 2 30. 27 m m464 3(vii ) m 17 1 6 500 28 6 69(viii ) n p q c r 22 31. 27 m m464 3(vii ) m 17 1 6 500 28 6 69(viii ) n p q c r 22 n6 32. 27 m m464 3(vii ) m 1 1 6 500 28 6 697p 500(viii ) n p q c r 22 n6 33. 27 m m464 3(vii ) m 1 1 6 500 28 6 697 p 500(viii ) n p q c r 22 n 6 28 q 34. 27 m m464 3(vii ) m 1 1 6 500 28 6 697 p 500 c 6 c(viii ) n p q c r 22 n 6 28 q 35. 27 m m464 3(vii ) m 1 1 6 500 28 6 697 p 500 c 6 c r 69(viii ) n p q c r 22 n 6 28 q 36. 27 m m464 3(vii ) m 1 6 500 28 6 69 1 7p 500 c 6 c r 69(viii ) n p q c r 2 2 n 6 28 q22 (ix) 3 37. 27 m m464 3(vii ) m 1 6 500 28 6 691 7 p 500 c 6 c r 69(viii ) n p q c r 22 n 6 28 q222 (ix) 3 3 2 38. 27 m m464 3(vii ) m 1 6 500 28 6 691 7 p 500 c 6 c r 69(viii ) n p q c r 22 n 6 28 q222 (ix) 3 3 2 9 4 39. 27 m m464 3(vii ) m 1 6 500 28 6 691 7 p 500 c 6 c r 69(viii ) n p q c r 22 n 6 28 q222 (ix) 3 3 2 9 4Exercise 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