#include <bits/stdc++.h>

using namespace std;

int main() {
	cin.tie(0);
	ios::sync_with_stdio(false);
	int m;
	scanf("%d", &m);
	for (int i = 0; i < m; i++) {
		int a, b;
		double t;
		scanf("%d %d %lf", &a, &b, &t);
		double ok = 0.0, ng = 3e5;
		for (int j = 0; j < 50; j++) {
			double mid = (ok + ng) / 2;
			double tmp = log(mid);
			double time = 1.0;
			for (int i = 0; i < a; i++) time *= mid;
			for (int i = 0; i < b; i++) time *= tmp;
			if (time > t) ng = mid;
			else ok = mid;
		}
		printf("%.10lf\n", ok);
	}
	return 0;
}