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कृपया अपनी पसंदीदा भाषा चुनें
$5^{99}$ को 11 से विभाजित करने पर शेषफल ______________
$5^{99}=5^{4} .5^{95}$
$=625[5^{5}]^{19}$
$=635[3125]^{19}$
$=625[3124+1]^{19}$
$=625[11 k \times 19+1]$
$=625 \times 11 k \times 19+625$
$=11 k_1+616+9$
$=11(k_2)+9$
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