Question

9th to the power 68/7th to the power 68

Answer 1

Step-by-step explanation:

9^68 (mod 4)={9 (mod 4)}^68={1 (mod 4)}^68=1

7^68 (mod 4)={7 (mod 4)}^68={ -1 (mod 4)^68=1

(Since 68 is EVEN )

The above is computed in light of Exponent Law a^k (mod n)=(a(mod n))^k

(where a,k,n are integers).

Coming to the question,

9^68 (mod 4) - 7^68 (mod 4)= 1–1 = 0 ANSWER.

Answer = 0