#include <bits/stdc++.h>
using namespace std;

int main() {
    int m; scanf("%d", &m);
    while(m--) {
        int a, b; double t; scanf("%d%d%lf", &a, &b, &t);
        if (!b) { printf("%.12f\n", pow(t, 1.0 / a)); continue; }
        if (!a) { printf("%.12f\n", exp(pow(t, 1.0 / b))); continue; }

        double q = pow(t, 1.0 / b);
        double l = 0, r = (t <= 1 ? 2.5 : 291), n;

        while (r - l > 1e-10) {
            n = (l + r) / 2;
            (pow(n, (double)a/b) * log(n) > q) ? r = n : l = n;
        }
        printf("%.12f\n", n);
    }
    return 0;
}