Testing K^K == N?

Write a function that returns True if k^k == n for input (n, k) and return False otherwise.

Examples

k_to_k(4, 2) ➞ True

k_to_k(387420489, 9) ➞ True
# 9^9 == 387420489

k_to_k(3124, 5) ➞ False

k_to_k(17, 3) ➞ False

Notes

The ^ operator refers to exponentiation operation **, not the bitwise XOR operation.