Hrs asked in Science & MathematicsMathematics · 5 months ago

a) 17753 mod 9 b) 17 x 18 mod 19 (Do not multiply the first two numbers for obtaining the mod value)?

Update:

a) 17^753 mod 9

b) 17 x 18 mod 19 (Do not multiply the first two numbers for obtaining the mod

value)

1 Answer

Relevance
  • Pope
    Lv 7
    5 months ago

    17 = 2(9) - 1

    17 ≡ -1 (mod 9)

    17⁷⁵³ ≡ (-1)⁷⁵³ (mod 9)

    17⁷⁵³ ≡ -1 (mod 9)

    17⁷⁵³ ≡ 8 (mod 9)

    18 = 19 - 1

    18 ≡ -1 (mod 19)

    (17)(18) ≡ (17)(-1) (mod 19)

    (17)(18) ≡ -17 (mod 19)

    (17)(18) ≡ 2 (mod 19)

Still have questions? Get your answers by asking now.