#include<bits/stdc++.h>
using namespace std;
#define rep(i,n) for(ll i=0;i<n;i++)
#define repl(i,l,r) for(ll i=(l);i<(r);i++)
#define per(i,n) for(ll i=(n)-1;i>=0;i--)
#define perl(i,r,l) for(ll i=r-1;i>=l;i--)
#define fi first
#define se second
#define pb push_back
#define ins insert
#define pqueue(x) priority_queue<x,vector<x>,greater<x>>
#define all(x) (x).begin(),(x).end()
#define CST(x) cout<<fixed<<setprecision(x)
#define rev(x) reverse(x);
using ll=long long;
using vl=vector<ll>;
using vvl=vector<vector<ll>>;
using pl=pair<ll,ll>;
using vpl=vector<pl>;
using vvpl=vector<vpl>;
const ll MOD=1000000007;
const ll MOD9=998244353;
const int inf=1e9+10;
const ll INF=4e18;
const ll dy[8]={1,-1,0,0,1,1,-1,-1};
const ll dx[8]={0,0,1,-1,1,-1,1,-1};
template<class T> inline bool chmin(T& a, T b) {
    if (a > b) {
        a = b;
        return true;
    }
    return false;
}
template<class T> inline bool chmax(T& a, T b) {
    if (a < b) {
        a = b;
        return true;
    }
    return false;
}

long long extGcd(long long a, long long b, long long &p, long long &q) {  
    if (b == 0) { p = 1; q = 0; return a; }  
    long long d = extGcd(b, a%b, q, p);  
    q -= a/b * p;  
    return d;  
}

vector<ll> factor(ll n){
    ll k=n; vector<ll> ret;
    for(int i=2;i*i<=n;i++){
        while(k%i==0){
            ret.pb(i);k/=i;
        }
    }
    if(k>1)ret.pb(k);
    return ret;
}
ll modpow(ll a,ll n, ll mod) {
  ll res = 1;
  while (n > 0) {
      if (n & 1) res = res * a % mod;
      a = a * a % mod;
      n >>= 1;
  }
  return res;
}

int main(){
    ll t;cin >> t;
    set<ll> st;for(auto p:factor(MOD-1))st.ins(p);
    ll phi=MOD-1;
    for(auto p:st){
        phi-=phi/p;
    }
    while(t--){
        ll x,k;cin >> x >> k;
        ll inv=modpow(k,phi-1,MOD-1);
        cout << modpow(x,inv,MOD) <<endl;
    }
}