1. Index Notation
Thursday, 29 November 2018

2. Example
Work out each of the following
(a) 5 2
(b) 2 4
(c) 8 3
(d)

3. Example
Express each of the following using index notation
a) 3×3×3×3×3
b) 7×7
c) 6×6×6×6×6×6

4. 𝑎 𝑚 × 𝑎 𝑛 = 𝑎 𝑚+𝑛 Example Express in index form 3 4 × 3 2 Example
Express each of the following in index form
a) × 7 5
b) × 5 3
c) 8 5 × 8 9
d) 3 2 × 3 7 × 3 2
e) 4 7 × 4 4 × 4

5. Example
Simplify each of the following, leaving your answer in index form
a) × 7 5 × 2 5 × 7 3
b) × 5 3 × 7 3 × 5 5
c) 8 5 × 6 4 × 8 3 × 6 9
d) 3 2 × 9 7 × 3 8 × 9

6. 𝑎 𝑚 𝑎 𝑛 =𝑎 𝑚−𝑛 =𝑎 𝑚 ÷ 𝑎 𝑛 Example Express in index form 5 7 5 3
𝑎 𝑚 𝑎 𝑛
=𝑎 𝑚 ÷ 𝑎 𝑛
=𝑎 𝑚−𝑛
Example
Express each of the following in index form a) b) c)

7. Example
Find the lettered index to make the statement correct
a) 7 𝑎 × 7 5 = 7 9
b) 4 3 × 4 𝑏 = 4 11
c) 8 𝑐 × 8 8 = 8 15 d) e) f)
5 𝑑 = 5 4
𝑒 = 6 6
2 5 × 2 𝑓 = 2 6

8. Example
Find the lettered index to make the statement correct
12 𝑥 × 12 𝑥 × 12 3 = 12 7