using System;
using System.Collections.Generic;
using System.IO;
using System.Linq;
using static System.Math;
using static Extensions;

static class Extensions
{
    public static void GetNums<T1>(out T1 dest1)
    {
        var str = Console.ReadLine().Split();
        dest1 = (T1)typeof(T1)
            .GetMethod("Parse", new Type[] { typeof(string) })
            .Invoke(null, new object[] { str[0] });
    }
    public static void GetNums<T1, T2, T3>(out T1 dest1, out T2 dest2, out T3 dest3)
    {
        var str = Console.ReadLine().Split();
        dest1 = (T1)typeof(T1)
            .GetMethod("Parse", new Type[] { typeof(string) })
            .Invoke(null, new object[] { str[0] });
        dest2 = (T2)typeof(T2)
            .GetMethod("Parse", new Type[] { typeof(string) })
            .Invoke(null, new object[] { str[1] });
        dest3 = (T3)typeof(T3)
            .GetMethod("Parse", new Type[] { typeof(string) })
            .Invoke(null, new object[] { str[2] });
    }
}

class Program
{
    static StreamWriter sw;

    static void Main()
    {
        sw = new StreamWriter(Console.OpenStandardOutput()) { AutoFlush = false };
        Console.SetOut(sw);
        Solve();
        Console.Out.Flush();
    }

    static void Solve()
    {
        int m;
        GetNums(out m);

        for (int i = 0; i < m; i++)
        {
            double a, b, t;
            GetNums(out a, out b, out t);
            double n;
            if (a == 0.0) n = Exp(Pow(t, 1.0 / b));
            else if (b == 0.0) n = Pow(t, 1.0 / a);
            else
            {
                double d; n = 2.0;
                do
                {
                    double t1 = Log(n);
                    double t2 = Pow(n, a - 2.0);
                    double t3 = Pow(t1, b - 2.0);
                    double d0 = t2 * n * n * t3 * t1 * t1 - t;
                    double d1 = t2 * n * t3 * t1 * (a * t1 + b);
                    double d2 = t2 * t3 * (((a * 2.0 - 1.0) * b + (a - 1.0) * a * t1) * t1 + (b - 1.0) * b);
                    d = d0 / (d1 - (d0 * d2) / (d1 * 2.0));
                    n -= d;
                }
                while (Abs(d) > 10e-10);
            }
            sw.WriteLine("{0:.#########}", n);
        }
    }
}