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

int main() {
    int m;
    scanf("%d", &m);
    while(m--) {
        int a, b;
        long double t, l, r;
        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 = 1 + 1e-10;
            r = expl(1) - 1e-10;
        }
        else {
            l = expl(1) + 1e-10;
            r = powl(t, 1.0l / a) - 1e-10;
        }
        while (r - l > 1e-9) {
            long double n = (l + r) / 2;
            if (powl(n, a) * powl(logl(n), b) > t) {
                r = n;
            }
            else {
                l = n;
            }
        }
        printf("%.12Lf\n", (l + r) / 2);
    }
    return 0;
}