#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)));
            if (exp(pow(t, 1.0 / b)) < 1){
                printf("nyan");
            }
            continue;
        }
        l = 1;
        r = 8;
        while (r - l > eps) {
            n = (l + r) / 2;
            double k = 1;
            for (int i = 0; i < a; ++i) {
                k *= n;
            }
            double ln = log(n);
            for (int i = 0; i < b; ++i) {
                k *= ln;
            }
            if (k > t)
                r = n;
            else
                l = n;
        }
        printf("%.12f\n", (l + r) / 2);
    }
    return 0;
}