#include <bits/stdc++.h>

using namespace std;

int main()
{
  int M;
  scanf("%d", &M);
  while(M--) {
    int A, B;
    double T;
    scanf("%d %d %lf", &A, &B, &T);
    if(A == 0) {
      printf("%.12lf\n", exp(pow(T, 1.0 / B)));
    } else if(B == 0) {
      printf("%.12f\n", pow(T, 1.0 / A));
    } else {
      double low = 1, high = exp(10);
      T = log(T);
      for(int i = 0; i < 43; i++) {
        double mid = (low + high) * 0.5;
        double lgg = log(mid);
        if(A * lgg + B * log(lgg) >= T) high = mid;
        else low = mid;
      }
      printf("%.12lf\n", low);
    }
  }
}