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1) $9^{1015}mod 21=?$

2)$11^{999}mod 17=?$

1 Answer

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  1. 94 mod 21= 9
  • 91015mod21 = (94)253mod21 * 93 mod 21= 9 mod 21 * 93mod21 = 94mod21 =  9

  1. 11(17−1)mod17= ​​​​​​​​​​​​​​ 1
  • ​​​​​​​​​​​​​​1116* 62 mod17 * 117 mod17 = ​​​​​​​1 *  117 mod17 =  117 mod17 = 112*3 mod 17  * 11mod 17 = 8 * 11 mod 17 = 88 mod 17 = 3

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