#include <bits/stdc++.h>
using namespace std;
#define rep(i,n) for(long long i = 0; i < (long long)(n); i++)

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 l = 0, r = 10, n;
        double tmp = 1;
        while (r - l > 4e-10) {
            n = (l + r) / 2;
            rep(_, a) tmp *= n;
            rep(_, b) tmp *= log(n);
            (tmp > t) ? r = n : l = n;
            tmp = 1;
        }
        printf("%.12f\n", n);
    }
    return 0;
}