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Modular arithmetic
Pls a little explaine it

Modular arithmetic Pls a little explaine it-example-1
User Mattshane
by
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1 Answer

5 votes

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.

User Sijan Bhandari
by
7.8k points
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