#include <algorithm>
#include <cassert>
#include <ctime>
#include <iostream>
#include <string>
#include <tuple>
#include <vector>
#include <cmath>

#define dump(x) std::cerr << __LINE__ << ":\t" #x " = " << x << std::endl
using namespace std;

double mypow(double x, int y) {
    double res = 1;
    while (y) {
        res *= res;
        if (y & 1) res *= x;
        y /= 2;
    }
    return res;
}

double f(int a, int b, double n) {
    return mypow(n, a) * mypow(log(n), b);
}

double solve(double a, double b, double t) {
    if (b == 0) {
        return pow(t, 1.0 / a);
    } else if (a == 0) {
        return exp(pow(t, 1.0 / b));
    } else {
        double lo = 1.0, hi = 6.0;
        for (int i = 0; i < 60; ++i) {
            double mid = (lo + hi) / 2;
            if (f(a, b, mid) > t) {
                hi = mid;
            } else {
                lo = mid;
            }
        }
        return lo;
    }
}

int main() {
    int m;
    cin >> m;
    cout << fixed;
    cout.precision(10);
    for (int i = 0; i < m; i++) {
        int a, b;
        double t;
        cin >> a >> b >> t;
        cout << solve(a, b, t) << '\n';
    }
}