©2009 – Not to be sold/Free to use Stage 5 Year 9 Rational Numbers Fractional Indices Press Ctrl-A ©2009 – Not to be sold/Free to use

Rule: a = n√a 9½ = 2√9 = √9 = 3 Fractional Index 1 n 2 MathScape Yr 9 5.2 Exercise 8.10 Q.1, 2 2

Rule: a = n√a 8 = 3√9 = 3 Fractional Index 1 n 1 3 3 8 = 3√9 = 3 MathScape Yr 9 5.2 Exercise 8.10 Q.1, 2 3 3

Rule: a = n√a 16 = 4√16 = 2 Fractional Index 1 n 1 4 4 16 = 4√16 = 2 MathScape Yr 9 5.2 Exercise 8.10 Q.1, 2 4 4

Evaluating Numbers in Index Notation Exercises a) 3 = 3 b) 4 = 4 c) 7 = 7 d) 5 = 5 e) 3 = 3 f) 8 = 8 1 2 4 3 Reset

Rule: a = n√a 9 = (√9)3 = 33 = 27 Fractional Index m n 3 2 6 9 = (√9)3 = 33 = 27 MathScape Yr 9 5.2 Exercise 8.10 Q.1, 2 6 6

Rule: a = n√a 8 = (3√8)2 = 22 = 4 Fractional Index m n 2 3 7 8 = (3√8)2 = 22 = 4 MathScape Yr 9 5.2 Exercise 8.10 Q.1, 2 7 7

Evaluating Numbers in Index Notation Exercises a) 5 = 5 b) 6 = 6 c) 2 = 2 d) 3 = 3 e) 7 = 7 f) 9 = 9 2 3 4 5 7 2 5 3 3 3 4 7 Reset

Rule: a = n√a 4 = (√4)-3 = 2-3 = 8-1 1 8 Fractional Index -m n -3 2 4 = (√4)-3 = 2-3 = 8-1 MathScape Yr 9 5.2 Exercise 8.10 Q.1, 2 1 8 9

Rule: a = n√a 27 = (3√27)-2 = 3-2 = 9-1 1 9 Fractional Index -m n -2 3 27 = -2 3 (3√27)-2 = 3-2 = 9-1 MathScape Yr 9 5.2 Exercise 8.10 Q.1, 2 1 9 10

Evaluating Numbers in Index Notation Exercises 1 1 -3 2 1 a) 16 = = = 3 3 2 16 4 64 1 -4 3 1 1 b) 8 = = = 4 3 27 4 3 81 Reset