#include<bits/stdc++.h>
using namespace std;
#define rep(i,a,b) for(int i=a;i<b;i++)



int M;
double A, B, T;
//-----------------------------------------------------------------------------------
bool chk(double n) {
    return T <= n * log(n);
}
//-----------------------------------------------------------------------------------
int main() {
    cin.tie(0);
    ios::sync_with_stdio(false);

    cin >> M;
    rep(m, 0, M) {
        cin >> A >> B >> T;

        if (A < 1e-10) {
            double ans = exp(pow(T, 1.0 / B));
            printf("%.12f\n", ans);
            continue;
        }

        if (B < 1e-10) {
            double ans = pow(T, 1.0 / A);
            printf("%.12f\n", ans);
            continue;
        }

        T = pow(T, 1.0 / B) * A / B;

        double lo = 0, hi = 1e18;
        rep(i, 0, 100) {
            double md = (lo + hi) / 2;
            if (chk(md)) hi = md;
            else lo = md;
        }

        double ans = pow(hi, B/A);

        printf("%.12f\n", ans);
    }
}