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

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

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

int main() {
    dfs(1, 1, 10);

    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 = 10;
        double ng = 1;
        double logT = log(t);
        int k = 1;
        for (int ii = 0; ii < 18; ii++) {
            double mid = (ok + ng) / 2;
            double logN = lg[k];
            double loglogN = lglg[k];
            if (a * logN + b * loglogN >= logT) {
                k = k * 2 + 0;
                ok = mid;
            } else {
                k = k * 2 + 1;
                ng = mid;
            }
        }
        for (int ii = 18; ii < 41; ii++) {
            double mid = (ok + ng) / 2;
            double logN = log(mid);
            double loglogN = log(logN);
            if (a * logN + b * loglogN >= logT) {
                ok = mid;
            } else {
                ng = mid;
            }
        }
        printf("%.12f\n", ok);
    }
}