#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) {
        int a, b; double t;
        scanf("%d %d %lf", &a, &b, &t);

        if (a == 0)
            printf("%.9lf\n", exp(pow(t, (1.0 / b))));
        else if (b == 0)
            printf("%.9lf\n", pow(t, (1.0 / a)));
        else {
            double d, n = 2.0;
            do {
                double t1 = log(n);
                double t2 = pow(n, a - 1);
                double t3 = pow(t1, b - 1);
                d = (t2 * n * t3 * t1 - t) / (t2 * t3 * (a * t1 + b));
                n -= d;
            } while (fabs(d) > 10e-10);
            printf("%.9lf\n", n);
        }
    }
    return 0;
}