1. ©2009 – Not to be sold/Free to use
Stage 5
Year 9
Rational
Numbers
Index Notation
Multipliation
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©2009 – Not to be sold/Free to use

2. Evaluating Numbers in Index Notation
Multiplication with Indices
using expanded notation.
23 x 25 =
2x2x2
x 2x2x2x2x2
= 28
57 x 52 =
5x5x5x5x5x5x5
x 5x5
= 59
34 x 37 =
3x3x3x3
x 3x3x3x3x3x3x3
= 311 2

3. Evaluating Numbers in Index Notation
Rule: Multiplication with Indices
am x an = am+n
23 x 25 =
23+5
= 28
57 x 52 =
57+2
= 59
34 x 37 =
34+7
= 311 3

4. Evaluating Numbers in Index Notation
Exercises
34 x 37 = 311
53 x 58 = 511
82 x 87 = 89
27 x 2 = 28
105 x 105 = 1010
113 x 115 = 118
154 x 155 = 159
204 x 207 = 2011