#include <bits/stdc++.h>
using namespace std;

#define _p(...) (void)printf(__VA_ARGS__)
#define forr(x,arr) for(auto&& x:arr)
#define _overload3(_1,_2,_3,name,...) name
#define _rep2(i,n) _rep3(i,0,n)
#define _rep3(i,a,b) for(int i=int(a);i<int(b);++i)
#define rep(...) _overload3(__VA_ARGS__,_rep3,_rep2,)(__VA_ARGS__)
#define _rrep2(i,n) _rrep3(i,0,n)
#define _rrep3(i,a,b) for(int i=int(b)-1;i>=int(a);i--)
#define rrep(...) _overload3(__VA_ARGS__,_rrep3,_rrep2,)(__VA_ARGS__)
#define all(x) (x).begin(), (x).end()
#define bit(n) (1LL<<(n))
#define sz(x) ((int)(x).size())
#define fst first
#define snd second
using ll=long long;using pii=pair<int,int>;
using vb=vector<bool>;using vs=vector<string>;
using vi=vector<int>;using vvi=vector<vi>;using vvvi=vector<vvi>;
using vl=vector<ll>;using vvl=vector<vl>;using vvvl=vector<vvl>;
using vd=vector<double>;using vvd=vector<vd>;using vvvd=vector<vvd>;
using vpii=vector<pii>;using vvpii=vector<vpii>;using vvvpii=vector<vvpii>;
template<typename T>T read(){T t;cin>>t;return t;}
template<class T,class U>ostream&operator<<(ostream&o,const pair<T,U>&p){o<<'('<<p.fst<<", "<<p.snd<<')';return o;}

double Main() {
  int a = read<int>();
  int b = read<int>();
  double t = read<decltype(t)>();

  if (a == 0) {
    t = pow(t, 1.0/b);
    return pow(M_E, t);
  }

  // OK な上限を探すパターン
  double ok = 0;
  double ng = pow(t, 1.0/a);

  auto check = [&](double x) -> bool {
    double a1 = pow(x, a);
    double a2 = pow(log(x), b);
    return a1 * a2 <= t;
  };

  rep(_, 100) {
    double mid = (ok + ng) / 2;
    bool c = check(mid);
    // cout << "ok: " << ok << ", ng: " << ng << ", ";
    // cout << "check(" << mid << ") -> " << c << endl;
    if (c) ok = mid;
    else ng = mid;
  }
  return ok;
}

int main() {
  cin.tie(nullptr);
  ios::sync_with_stdio(false);
  int T = read<int>();
  cout << fixed << setprecision(10);
  while (T--) cout << Main() << endl;
  return 0;
}