The remainder when 75⁷⁵⁷⁵ is divide by 37.

A. 0

B. 1

C. 5

D. 7

Answer: Option B

Solution(By Examveda Team)

$$\frac{{{{75}^{{{75}^{75}}}}}}{{37}}$$
When 75 is divided by 37, it leaves remainder of 1.
So, the expression will become,
$$\frac{{{1^{{{75}^{75}}}}}}{{37}}$$
Now, for any power of 1, we always get 1 and expression becomes $$\frac{1}{{37}}$$ that leaves remainder 1