#include <stdio.h>
#include <stdlib.h>
#include <stdbool.h>
#include <string.h>
#include <math.h>
#define REP(i, n) for (ll i = 0; i < n; i++)
#define REP1(i, n) for (ll i = 1; i <= n; i++)
#define RREP(i, n) for (ll i = n - 1; i >= 0; i--)
#define RREP1(i, n) for (ll i = n; i >= 1; i--)
#define FOR(i, a, b, c) for (ll i = a; i <= b; i += c)
#define RFOR(i, a, b, c) for (ll i = a; i >= b; i -= c)
#define MAX(a, b) (a > b ? a : b)
#define MIN(a, b) (a < b ? a : b)
#define INF 1145141919
typedef long long ll;

int main() {
    int m;
    scanf("%d", &m);
    REP(i, m) {
        double a, b; double t;
        scanf("%lf %lf %lf", &a, &b, &t);
        double n;
        if (a == 0) n = exp(pow(t, (1 / b)));
        else if (b == 0) n = pow(t, (1 / a));
        else {
            double d; n = 2.0;
            do {
                double t1 = log(n);
                double t2 = pow(n, a - 2);
                double t3 = pow(t1, b - 2);
                double d0 = t2 * n * n * t3 * t1 * t1 - t;
                double d1 = t2 * n * t3 * t1 * (a * t1 + b);
                double d2 = t2 * t3 * (((a * 2 - 1) * b + (a - 1) * a * t1) * t1 + (b - 1) * b);
                d = d0 / (d1 - (d0 * d2) / (d1 * 2));
                n -= d;
            } while (fabs(d) > 10e-10);
        }
        printf("%.9lf\n", n);
    }
}