/* -*- coding: utf-8 -*-
 *
 * 456.cc: No.456 Millions of Submits! - yukicoder
 */

#include<cstdio>
#include<cstdlib>
#include<cstring>
#include<cmath>
#include<iostream>
#include<string>
#include<vector>
#include<map>
#include<set>
#include<stack>
#include<list>
#include<queue>
#include<deque>
#include<algorithm>
#include<numeric>
#include<utility>
#include<complex>
#include<functional>
 
using namespace std;

/* constant */

const int CNT = 60;

typedef long double ld;

const ld MIN_N = 0.0;
const ld MAX_N = expl(10);
const ld DELTA = 1e-10;

/* typedef */

/* global variables */

ld powld(ld a, int b) {
  ld p = 1.0;
  while (b) {
    if (b & 1) p *= a;
    a *= a;
    b >>= 1;
  }
  return p;
}

/* subroutines */

/* main */

int main() {
  int m;
  scanf("%d", &m);
  while (m--) {
    int ai, bi;
    ld ti;
    scanf("%d%d%Lf", &ai, &bi, &ti);

    ld ln = (bi > 0) ? 1.0 : 0.0;
    ld rn = MAX_N;
    while (ln + DELTA < rn) {
      ld n = (ln + rn) / 2;
      ld t = powld(n, ai) * powld(logl(n), bi);
      if (t <= ti) ln = n;
      else rn = n;
    }

    printf("%.11Lf\n", ln);
  }
  return 0;
}