elmira21 elmira21

09-01-2021
Mathematics

contestada

Modular arithmetic
Pls a little explaine it

Modular arithmetic Pls a little explaine it class=

Respuesta :

ChoiSungHyun ChoiSungHyun

09-01-2021

Step-by-step explanation:

(72)¹⁴³ ≡ x (mod 7)

Since 72 ≡ 2 (mod 7),

72³ ≡ 2³ (mod 7) ≡ 1 (mod 7).

Therefore (72)¹⁴³ = (72³)⁴⁷ * (72²)

≡ 1⁴⁷ * 4 (mod 7) ≡ 4 (mod 7).

The answer is A.

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