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Laws of Indices
What are Indices?
 Indices provide a way of writing numbers
in a more convenient form
 Indices is the plural of Index
 An Index is often referred to as a power
For example
7 x 7 x 7x 7 x 7 = 75
7 is the BASE NUMBER
5 is the INDEX
75 is a number in INDEX FORM
Rule 1 : Multiplication
General Rule am x an = a m + n
26 x 24
= 210
= 2 6 + 4
Rule 2 : Division
General Rule am ÷ an = a m - n
26 ÷ 24
= 22
= 2 6 - 4
Rule 3 : Power of power
(35)3
= 3 5 x 3 = 315
General Rule (am)n = a m x n

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indices.ppt

  • 2. What are Indices?  Indices provide a way of writing numbers in a more convenient form  Indices is the plural of Index  An Index is often referred to as a power
  • 3. For example 7 x 7 x 7x 7 x 7 = 75 7 is the BASE NUMBER 5 is the INDEX 75 is a number in INDEX FORM
  • 4. Rule 1 : Multiplication General Rule am x an = a m + n 26 x 24 = 210 = 2 6 + 4
  • 5. Rule 2 : Division General Rule am ÷ an = a m - n 26 ÷ 24 = 22 = 2 6 - 4
  • 6. Rule 3 : Power of power (35)3 = 3 5 x 3 = 315 General Rule (am)n = a m x n