#include using namespace std; #define rep(i, n) for(int i = 0; i < n; i++) #define rep2(i, x, n) for(int i = x; i <= n; i++) #define rep3(i, x, n) for(int i = x; i >= n; i--) #define each(e, v) for(auto &e: v) #define pb push_back #define eb emplace_back #define all(x) x.begin(), x.end() #define rall(x) x.rbegin(), x.rend() #define sz(x) (int)x.size() using ll = long long; using pii = pair; using pil = pair; using pli = pair; using pll = pair; #define pq(type, name) priority_queue name #define iq(type, name) priority_queue, greater> name const int inf = (1<<30)-1; const ll INF = (1LL<<60)-1; const double pi = acos(-1.0); const double EPS = 1e-10; template bool chmax(T &x, const T &y){ if(x < y) {x = y; return true;} return false; } template bool chmin(T &x, const T &y){ if(x > y) {x = y; return true;} return false; } void in() {} template void in(Head &&head, Tail &&...tail){ cin >> head; in(forward(tail)...); } void out() {cout << '\n';} template void out(Head &&head, Tail &&...tail){ cout << head << ' '; out(forward(tail)...); } void outn() {} template void outn(Head &&head, Tail &&...tail){ cout << head << '\n'; outn(forward(tail)...); } template void in(pair &p){ cin >> p.first >> p.second; } template void out(pair p){ cout << p.first << ' ' << p.second << '\n'; } using vi = vector; using vll = vector; #define vec1(type, name, ...) vector name(__VA_ARGS__) #define VEC1(type, ...) vector(__VA_ARGS__) #define vec2(type, name, a, ...) vector> name(a, VEC1(type, __VA_ARGS__)) #define VEC2(type, a, ...) vector>(a, VEC1(type, __VA_ARGS__)) #define vec3(type, name, a, b, ...) vector>> name(a, VEC2(type, b, __VA_ARGS__)) #define VEC3(type, a, b, ...) vector>>(a, VEC2(type, b, __VA_ARGS__)) #define vec4(type, name, a, b, c, ...) vector>>> name(a, VEC3(type, b, c, __VA_ARGS__)) #define VEC4(type, a, b, c, ...) vector>>>(a, VEC3(type, b, c, __VA_ARGS__)) #define vec5(type, name, a, b, c, d, ...) vector>>>> name(a, VEC4(type, b, c, d, __VA_ARGS__)) #define VEC5(type, a, b, c, d, ...) vector>>>>(a, VEC4(type, b, c, d, __VA_ARGS__)) template void vin(vector &a){ rep(i, sz(a)) cin >> a[i]; } template void vout(const vector &a){ for(auto &e: a) cout << e << ' '; cout << '\n'; } template void voutn(const vector &a){ for(auto &e: a) cout << e << '\n'; } template void unique(vector &a){ sort(all(a)), a.erase(unique(all(a)), a.end()); } vector iota(int n){ vector ret(n); iota(all(ret), 0); return ret; } template vector iota(const vector &a, bool greater = false){ vector ret = iota(sz(a)); sort(all(ret), [&](int i, int j){ return (a[i] < a[j])^greater; }); return ret; } struct io_setup{ io_setup(){ ios_base::sync_with_stdio(false); cin.tie(NULL); cout << fixed << setprecision(15); } } io_setup; #define VEC(type, name, n) vector name(n); vin(name) #define INT(...) int __VA_ARGS__; in(__VA_ARGS__) #define LL(...) ll __VA_ARGS__; in(__VA_ARGS__) #define CHAR(...) char __VA_ARGS__; in(__VA_ARGS__) #define STR(...) string __VA_ARGS__; in(__VA_ARGS__) #define DBL(...) double __VA_ARGS__; in(__VA_ARGS__) const int MOD = 1000000007; //const int MOD = 998244353; struct Random_Number_Generator{ mt19937_64 mt; Random_Number_Generator() : mt(chrono::steady_clock::now().time_since_epoch().count()) {} int64_t operator () (int64_t l, int64_t r){ uniform_int_distribution dist(l, r-1); return dist(mt); } int64_t operator () (int64_t r){ return (*this)(0, r); } }; ll modpow(ll x, ll n, const int &m){ ll ret = 1; while(n){ if(n&1) ret *= x, ret %= m; x *= x, x %= m; n >>= 1; } return ret; } template T Euler_Totient(T m){ //オイラーのφ関数(xとmが互いに素ならば、x^φ(m)≡1(mod m)) T ret = m; for(T i = 2; i*i <= m; i++){ if(m%i == 0) ret /= i, ret *= i-1; while(m%i == 0) m /= i; } if(m > 1) ret /= m, ret *= m-1; return ret; } int modlog(const int &x, ll y, const int &m){ //x^k=y(mod m)となる最小の非負整数k(xとmは互いに素) unordered_map mp; int n = 0; ll now = 1; for(; n*n < m; n++){ if(!mp.count(now)) mp[now] = n; now *= x, now %= m; } now = modpow(now, Euler_Totient(m)-1, m); rep(i, n){ if(mp.count(y)) return n*i+mp[y]; y *= now, y %= m; } return -1; } template T order(T x, const T &m){ //x^k=1(mod m)となる最小の正整数(xとmは互いに素) T n = Euler_Totient(m); vector ds; for(T i = 1; i*i <= n; i++){ if(n%i == 0) ds.pb(i), ds.pb(n/i); } sort(all(ds)); for(auto &e: ds){ if(modpow(x, e, m) == 1) return e; } return -1; } template T primitive_root(T m){ //素数mの原始根 vector ds; for(T i = 1; i*i <= m-1; i++){ if((m-1)%i == 0) ds.pb(i), ds.pb((m-1)/i); } sort(all(ds)); Random_Number_Generator rnd; while(true){ T r = rnd(1, m); for(auto &e: ds){ if(e == m-1) return r; if(modpow(r, e, m) == 1) break; } } } int main(){ INT(T); ll m = Euler_Totient(MOD-1); while(T--){ LL(X, K); ll t = modpow(K, m-1, MOD-1); out(modpow(X, t, MOD)); } }