1. ©2009 – Not to be sold/Free to use
Stage 5
Year 9
Rational
Numbers
Index Notation
Powers
Press Ctrl-A
©2009 – Not to be sold/Free to use

2. Evaluating Numbers in Index Notation
(34)2
Powers of Indices
using expanded notation.
(24)3 =
2x2x2x2
x 2x2x2x2
x 2x2x2x2
= 212
(56)2 =
5x5x5x5x5x5
x 5x5x5x5x5x5
= 512
(32)5 =
3x3
x 3x3
x 3x3
x 3x3
x 3x3
= 310 2

3. Evaluating Numbers in Index Notation
Rule: Power of Indices
(am)n = amxn
(25)2 =
25x2
= 210
(57)2 =
57x2
= 514
(34)7 =
34x7
= 328 3

4. Evaluating Numbers in Index Notation
Exercises
(39)2 = 318
(56)2 = 512
(85)2 = 810
(27)3 = 221
(109)2 = 1018
(118)3 = 1124
(156)2 = 1512
(206)3 = 2018