CHAPTER 5 Indices and Logarithms ADDITIONAL MATHEMATICS FORM 4
MODUL P&P
(Indices and Logarithms) (CHAPTER5)
5.1Indices and Law of Indices
(LEARNING OBJECTIVESUnderstand and use the concept of indices
and law of indices to solve problems.)
(LEARNING OUTCOMESAt the end of the lessons, students should be
able to :Use laws of indices to find the values of numbers in index
form that are multiplied, divided or raised to a power .)
5.1.2 Laws of Indices
1.Multiplication of Indices
(am x an = am+n)
Example :
Simplify the following(a)35 x 34(b) x
Solution
(a)35 x 34 = 35+4 = 39
(b) x = = = 62
2.Division of Indices
(am an = amnor)
Example :
Simplify the following(a)45 42(b) x
Solution
(a)45 42 = 452 = 43
(b)76 72 = 762 = 74
3.Number Raised to a Power
((am)n = am x n = amn(ab)n = an x bn)
Example :
Simplify the following(a)(83)4(b)
Solution
(a)(83)4 = 83 x 4 = 812
(b) = = 104
4.Example :
Simplify x
Solution
x = x
= 22 x 23 23
= 22+( 3)3
= 2233
= 24
5. (1)Try This
ASimplify the following
(i) 25 x 24 =
(ii) x =
(iii) x =
(iv) 92n x 94n + 1 =
(v) 36 32 =
(vi) 57 52 =
(vii) 5p 52 x 52p
=
(viii) 49 x
=
(ix) 22n + 3 x 8n 5
=
6. (2)Try This
ASimplify the following
(i) (32)5 =
(ii) (52)4 =
(iii) =
(iv) (72 73)2 =
(v) (42)3 46 =
(vi) 35 x (32)6 =
(vii) 163 x 82 24 =
(viii) x 125 =
(ix) x x =
(x) x =
(xi) x =
(xii) 9(3n 1) =
(xiii) 3n 3 x 27n =
(xiv) 32x 5 92 3x =
(xv) =
ANSWER
Try This 1
A
(i) 29
(ii) 72
(iii) 34
(iv) 96n + 1
(v) 34
(vi) 59
(vii) 53p 2
(viii) 73
(ix) 25n - 12
Try This 2
A
(i) 310
(ii) 58
(iii) 36
(iv) 710
(v) 412
(vi) 37
(vii) 22
(viii) 52
(ix) 3
(x) 23
(xi) 2
(xii) 31 + n
(xiii) 34n 3
(xiv) 38x 9
(xv) 25p 16
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