logavioc6

2023-03-05

When 32^(33) is divided by 34, it leaves the remainder

Scapinonvk

${32}^{33}={2}^{165}=2×{16}^{41}\phantom{\rule{0ex}{0ex}}=2×\left(17-1{\right)}^{41}\phantom{\rule{0ex}{0ex}}=2×\left(17k-1\right)\phantom{\rule{0ex}{0ex}}=34-k-3$Result: 32