# 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): $32$