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Question
If 64 x 625 = 2a x 5b ; find: the values of a and b.
Sum
Solution
the values of a and b.
64 x 625 = 2a x 5b
64 = 2a
| 2 | 64 |
| 2 | 32 |
| 2 | 16 |
| 2 | 8 |
| 2 | 4 |
| 2 | 2 |
| 1 |
64 = 2 × 2 × 2 × 2 × 2 × 2
64 = 26
∴ a = 6
Also, 625 = 5b
| 5 | 625 |
| 5 | 125 |
| 5 | 25 |
| 5 | 5 |
| 1 |
625 = 5 × 5 × 5 × 5
625 = 54
∴ b = 4
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