Power of 2 is Difference between Two Powers/Examples/32
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Example of Power of 2 is Difference between Two Powers
- $2^5 = 3^4 - 7^2$
Proof
| \(\ds 3^4 - 7^2\) | \(=\) | \(\ds 81 - 49\) | ||||||||||||
| \(\ds \) | \(=\) | \(\ds 32\) | ||||||||||||
| \(\ds \) | \(=\) | \(\ds 2^5\) |
$\blacksquare$
Sources
- 1997: David Wells: Curious and Interesting Numbers (2nd ed.) ... (previous) ... (next): $32$