#include <iostream>
#include <cstdio>
#include <cmath>
using namespace std;

const int N = 1 << 19;
double lg[N];

void dfs(int k, double l, double r) {
    if (k < N) {
        lg[k] = log((l + r) / 2);
        dfs(k * 2 + 0, l, (l + r) / 2);
        dfs(k * 2 + 1, (l + r) / 2, r);
    }
}

int main() {
    const double L = 0;
    const double R = log(10);
    dfs(1, L, R);

    int m;
    cin >> m;

    while (m--) {
        int a, b;
        double t;
        scanf("%d %d %lf", &a, &b, &t);
        if (b == 0) {
            printf("%.12f\n", pow(t, 1.0 / a));
            continue;
        }
        if (a == 0) {
            printf("%.12f\n", exp(pow(t, 1.0 / b)));
            continue;
        }
        double ok = R;
        double ng = L;
        double logT = log(t);
        int k = 1;
        for (int ii = 0; ii < 19; ii++) {
            double mid = (ok + ng) / 2;
            double logN = lg[k];
            if (a * mid + b * lg[k] >= logT) {
                k = k * 2 + 0;
                ok = mid;
            } else {
                k = k * 2 + 1;
                ng = mid;
            }
        }
        double logL = log(ng);
        double logR = log(ok);
        for (int ii = 19; ii < 43 && (ok - ng) > 1e-10; ii++) {
            double mid = (ok + ng) / 2;
            double logM = (logL + logR) / 2;
            if (a * mid + b * logM >= logT) {
                ok = mid;
                logR = logM;
            } else {
                ng = mid;
                logL = logM;
            }
        }
        printf("%.12f\n", exp(ok));
    }
}