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Presentation
•
Mathematics
•
11th - 12th Grade
•
Hard
Adesanya Joseph
FREE Resource
5 Slides • 0 Questions
1
Christ the King Catholic College , Odolewu-Ijebu
Week 1
Topic: Indices and Mathematics
Prepared By Mr Adesanya, A.J
2
Scheme of Work
Indices and Logarithm
Algebraic Simplification
Equations and formula
Algebraic Graph
Quadratic Expression and Equations
Logical Reasoning
Set 1 and 2
3
Week 1: Indices
INDICES
A number in index form is of the form Xb ( b denotes power, index or exponent while x denotes base) where x and b are integers and x ≠ 0 . The plural of index is indices.
Laws of Indices
1. Xa x Xb = Xa+b
e.g (a) X4 x X2 = X5 +2 = X7
(b) 3x4y-5 x -2x2y2 = 3 x -2 x X4 x X2 x y-5 x y2 = -6x6y3
4
Laws of indices
INDICES
1. Xa ÷ Xb = Xa-b
E.g (i) X6 ÷ X2 = X6-2 = X4
(ii) 6y8z4 ÷ -2y3z3 = -3y5z
(iii) = -3x3y4
2. (Xa)b = Xax b
E.g (i) (X3)4 = X3x4 = X12
(ii) (2x4y3)5 = 32x20y15
5
Laws of indices
1. X a/b = ( )b
(i) 25 3/2 = 125
(ii) ( )2/3 =
2. X-a =
E.g (i) 5-2 =
(ii) ( )-3/2 =
Christ the King Catholic College , Odolewu-Ijebu
Week 1
Topic: Indices and Mathematics
Prepared By Mr Adesanya, A.J
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