#define _CRT_SECURE_NO_WARNINGS
#include<sstream>
#include<iostream>
#include<cstdio>
#include<cstdlib>
#include<cstring>
#include<climits>
#include<cmath>
#include<string>
#include<vector>
#include<set>
#include<map>
#include<queue>
#include<numeric>
#include<functional>
#include<algorithm>
#include<bitset>
#include<tuple>
#include<unordered_set>
#include<unordered_map>
#include<random>
using namespace std;
#define INF (1<<29)
#define rep(i,n) for(int i=0;i<(int)(n);i++)
#define all(v) v.begin(),v.end()
#define uniq(v) v.erase(unique(all(v)),v.end())



int main() {
	ios::sync_with_stdio(0);
	cin.tie(0);

	int m;
	cin >> m;
	rep(i, m) {
		double a, b, t;
		cin >> a >> b >> t;
		if (a == 0) {
			printf("%.12f\n", exp(pow(t, 1 / b)));
		}
		else if (b == 0) {
			printf("%.12f\n", pow(t, 1 / a));
		}
		else {
			double lb = 1, ub = 10;
			rep(j, 10) {
				double mid = (lb + ub) / 2;
				if (pow(mid, a)*pow(log(mid), b) <= t) {
					lb = mid;
				}
				else {
					ub = mid;
				}
			}
			double n = lb;
			rep(j, 5) {
				double x, y, l;
				x = pow(n, a - 1);
				l = log(n);
				y = pow(l, b - 1);
				n =  n - (x*n * y*l - t) / (a*x * y*l + x * b*y);
			}
			printf("%.12f\n", n);
		}
	}

	return 0;
}