#include <algorithm>
#include <cmath>
#include <iostream>

#define REP(i,s,n) for(int i=(int)(s);i<(int)(n);i++)

using namespace std;

double solve(int a, int b, double t) {
  if (b == 0) {
    return pow(t, 1.0 / a);
  }
  if (a == 0) {
    return exp(pow(t, 1.0 / b));
  }
  double lo = 0, hi = 10;
  REP(loop_cnt, 0, 36) {
    double mid = (lo + hi) / 2;
    if (pow(mid, a) * pow(log(mid), b) <= t) {
      lo = mid;
    } else {
      hi = mid;
    }
  }
  return lo;
}

int main(void){
  int m;
  cin >> m;
  REP(i, 0, m) {
    int a, b;
    double t;
    cin >> a >> b >> t;
    printf("%.15f\n", solve(a, b, t));
  }
}