#include <bits/stdc++.h>
#define be(v) (v).begin(),(v).end()
#define pb(q) push_back(q)
typedef long long ll;
using namespace std;
#define doublecout(a) cout<<fixed<<setprecision(10)<<a<<endl;

ll mod;

long long modpow(long long a, long long n) {
    long long res = 1;
    while (n > 0) {
        if (n & 1) res = res * a % mod;
        a = a * a % mod;
        n >>= 1;
    }
    return res;
}
int main() {
    cin.tie(0);
    cout.tie(0);
    ios::sync_with_stdio(false);
    ll t;
    cin >> t;
    while(t--){
        ll x, k;
        cin >> x >> k;
        mod = 1000000006;
        k = modpow(k, mod / 2 - 2);
        mod++;
        cout << modpow(x, k) << endl;
    }
    return 0;
}