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

int main() {
    int m;
    scanf("%d", &m);
    long double e = expl(1);
    while(m--) {
        int a, b;
        long double t, l, r, n;
        scanf("%d%d%Lf", &a, &b, &t);
        if (!b) {
            printf("%.12Lf\n", powl(t, 1.0l / a));
            continue;
        }
        if (!a) {
            printf("%.12Lf\n", expl(powl(t, 1.0l / b)));
            continue;
        }
        if (expl(a) > t) {
            l = powl(t, 1.0l / a);
            r = e;
        }
        else {
            l = e;
            r = powl(t, 1.0l / a);
        }
        while (r - l > 1e-9) {
            n = (l + r) / 2;
            if (pow(n, a) * pow(log(n), b) > t) {
                r = n;
            }
            else {
                l = n;
            }
        }
        printf("%.12Lf\n", (l + r) / 2);
    }
    return 0;
}