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

int main() {
    int m;
    scanf("%d", &m);
    double e = exp(1);
    double eps = 1e-10 * 2;
    while(m--) {
        int a, b;
        double t, l, r, n;
        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 tt = log(t);
        l = 0;
        r = 4;
        while (r - l > eps) {
            n = (l + r) / 2;
            if (a * n + b * log(n) > tt)
                r = n;
            else
                l = n;
        }
        printf("%.12f\n", exp((l + r) / 2));
    }
    return 0;
}