#include <algorithm>
#include <cstdio>
#include <cstdlib>
#include <cctype>
#include <cmath>
#include <iostream>
#include <queue>
#include <list>
#include <stack>
#include <map>
#include <numeric>
#include <set>
#include <sstream>
#include <string>
#include <vector>
using namespace std;
#define REP(i,a,n) for(int i=(a); i<(int)(n); i++)
#define rep(i,n) REP(i,0,n)
#define FOR(it,c) for(__typeof((c).begin()) it=(c).begin(); it!=(c).end(); ++it)
#define ALLOF(c) (c).begin(), (c).end()
typedef long long ll;

int main(){
  int m;
  cin >> m;
  rep(i,m){
    int a, b;
    double t;
    cin >> a >> b >> t;

    if(a==0){
      printf("%.12lf\n", exp(pow(t,1.0/b)));
    }
    else if(b==0){
      printf("%.12lf\n", pow(t,1.0/a));
    }
    else{
      double lb=0,ub=50;
      double logt = log(t);
      double y = a / b * pow(t,1.0/b);
      rep(j,50){
        double mid = (lb+ub)/2.0;
        if(mid * log(mid) < y) lb = mid;
        else ub = mid;
      }
      printf("%.12lf\n", pow(lb,b/a));
    }
  }
  
  return 0;
}