Multiplying Indices
Here the rules used are:
am × an = am + n and a1 = a
- Example 1. work out a3 × a4
- Example 2. work out a2 × a3 × a4
- Example 3. work out a2 × a5 × b2
- Example 4. work out 2a × 5a4
- Example 5. work out 4a × 5a2 × 6a3
In this example the base is a
a3 × a4
| = | (a × a × a) × (a × a × a × a) |
| = | a3 + 4 = a7 |
In this example the base is a
a2 × a3 × a4
| = | (a × a) × (a × a × a) × (a × a × a × a) |
| = | a2 + 3 + 4 = a9 |
Here there are two bases: two are base a; and one is base b
a2 × a5 × b2
| = | (a × a) × (a × a × a × a × a) × (b × b) |
| = | a2 + 5 × b2 = a7 × b2 |
| = | a7 b2 |
Here the base is a. Numbers are multiplied and indices are added
2a × 5a4
| = | 2a1 × 5a4 |
| = | 2 × (a) × 5 × (a × a × a × a) |
| = | 2 × 5a1 + 4 = 10a5 |
Here the base is a. Numbers are multiplied and indices are added
4a × 5a2 × 6a3
| = | 4a1 × 5a2 × 6a3 |
| = | 4 × (a) × 5 × (a × a)× 6 × (a × a × a) |
| = | 4 × 5 × 6 × a1 + 2 + 3 |
| = | 120a6 |
to: 
