Multiplying Powers
When you multiply two powers with the SAME base number, you add the indices:
- Example 1. work out 22 × 23 the base is 2
- Example 2. work out 32 × 34 the base is 3
- Example 3. work out 22 × 23 × 33
| 22 = 2 × 2 = 4 |
| 23 = 2 × 2 × 2 = 8 |
| 22 × 23 | = | 2 × 2 × 2 × 2 × 2 |
| = | 22+3 = 25 = 32 |
| 32 = 3 × 3 = 9 |
| 34 = 3 × 3 × 3 × 3 = 81 |
| 32 × 34 | = | 3 × 3 × 3 × 3 × 3 × 3 |
| = | 32+4 = 36 = 729 |
there are two bases:
two are base 2; and one is base 3
| 22 × 23 × 33 |
| = | 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 | |
| = | 22+3 × 33 = 25 × 33 | |
| = | 32 × 27 = 864 |
to: 
