/* -*- coding: utf-8 -*- * * 1287.cc: No.1287 えぬけー - yukicoder */ #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include using namespace std; /* constant */ const int MOD = 1000000007; const int PHM = (2 - 1) * (500000003 - 1); /* typedef */ typedef long long ll; /* global variables */ /* subroutines */ int powmod(int a, int n, int mod) { // a^n % mod int pm = 1; while (n > 0) { if (n & 1) pm = (ll)pm * a % mod; a = (ll)a * a % mod; n >>= 1; } return pm; } /* main */ int main() { // x=n^k, n^{p-1}=1 // let k*m=1(mod p-1) -> x^m=(n^k)^m=n^(k*m)=n // -> m=1/k(mod p-1)=k^phi(p-1)(mod p-1) int tn; scanf("%d", &tn); while (tn--) { int x, k; scanf("%d%d", &x, &k); int m = powmod(k, PHM - 1, MOD - 1); int n = powmod(x, m, MOD); printf("%d\n", n); //printf("x=%d, k=%d, m=%d -> k*m=%lld\n", x, k, m, (ll)k * m % (MOD - 1)); } return 0; }