Know what is
Know how to do
(1) Index Notation
(a) 5 x 5 x 5 = 53 is read as 5 cubed.
(b) 2 x 2 x 2 x 2 x 2 x 2 = 26 is read as 2 to the power of 6.
(c) a x a x a x … x a x a = a^n is read as a to the power of n.
(2) Prime Factorisation
(a) 12 = 22 x 3
(b) 252 = 22 x 32 x 7
(a) If a number or a term is expressed in the form
, we say that it's in the
The study of
indices is about the study of numbers in index form.
(b) If the power x is positive, we say that the term is expressed in
POSITIVE INDEX FORM.
(c) If the power x is negative, we say that the term is expressed in
NEGATIVE INDEX FORM.
Recall the Laws of Indices learnt in Sec 1. In Sec 1, you have learnt to work with positive indices. In Sec 2, you will learn about negative indices and fractional indices, which are laws 7 and 8.
(1) Concept Mastery:
Download the summary of the laws and their proofs:
Indices - Laws and Proofs.pdf
The powerpoint slides demonstrate the proofs of the laws. Though it's not necessary to show the proofs in tests/exam, it's good to know and it will help you to remember the laws:
Indices laws and proofs.ppt
Alternatively, you may view the video on the proofs of the laws:
(2) Examples of applications of the laws:
Some examples of the application of the laws of Indices to simplify the expression is shown here:
(3) Practice Questions:
Download and Practice these questions:
Indices revision worksheet.pdf
(4) ConcepTest: Closed
(5) Recap on Laws + Solutions to Revision Worksheet above and worksheet given in class:
Solutions for Indices II: Make sure you have completed BEFORE downloading - reading solutions is of NO benefit to you!
Indices II Solutions.pdf
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