Power of 2 is Difference between Two Powers/Examples/16
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Example of Power of 2 is Difference between Two Powers
- $2^4 = 5^2 - 3^2$
Proof
\(\ds 5^2 - 3^2\) | \(=\) | \(\ds 25 - 9\) | ||||||||||||
\(\ds \) | \(=\) | \(\ds 16\) | ||||||||||||
\(\ds \) | \(=\) | \(\ds 2^4\) |
$\blacksquare$
Sources
- 1997: David Wells: Curious and Interesting Numbers (2nd ed.) ... (previous) ... (next): $32$