using System;
using System.Collections;
using System.Collections.Generic;
using System.IO;
using System.Linq;
using System.Numerics;
using System.Text;
using static System.Console;
using static System.Convert;
using static System.Math;
using static Extentions;

class IO
{
    int idx;
    string[] input = In.ReadToEnd().Split(new[] { " ", "\n", "\r" },
        StringSplitOptions.RemoveEmptyEntries);

    T Get<T>(Func<string, T> parser) => parser(input[idx++]);

    public string S => Get(s => s);
    public char C => Get(char.Parse);
    public int I => Get(int.Parse);
    public long L => Get(long.Parse);
    public double F => Get(double.Parse);
    public decimal D => Get(decimal.Parse);
    public BigInteger B => Get(BigInteger.Parse);

    T[] Gets<T>(int n, Func<string, T> parser)
        => input.Skip((idx += n) - n).Take(n).Select(parser).ToArray();

    public string[] Ss(int n) => Gets(n, s => s);
    public char[] Cs(int n) => Gets(n, char.Parse);
    public int[] Is(int n) => Gets(n, int.Parse);
    public long[] Ls(int n) => Gets(n, long.Parse);
    public double[] Fs(int n) => Gets(n, double.Parse);
    public decimal[] Ds(int n) => Gets(n, decimal.Parse);
    public BigInteger[] Bs(int n) => Gets(n, BigInteger.Parse);

    public void Write<T>(params T[] xs) => WriteLine(string.Join(" ", xs));
    public void Write(params object[] xs) => WriteLine(string.Join(" ", xs));
}

#region Library

static class Halley
{
    public static double Iterate(
        Func<double, double> f,
        Func<double, double> df1, Func<double, double> df2,
        double init, double tolerance)
    {
        double d;
        var x = init;
        do
        {
            var fx = f(x);
            var df1x = df1(x);
            var df2x = df2(x);
            x -= d = (2 * fx * df1x) / (2 * Pow(df1x, 2) - fx * df2x);
        }
        while (Abs(d) >= tolerance);
        return x;
    }
}

static class Extentions
{
}

#endregion

static class Program
{
    public static void Main()
    {
        var sw = new StreamWriter(OpenStandardOutput()) { NewLine = "\n" };
#if DEBUG
        sw.AutoFlush = true;
#else
        sw.AutoFlush = false;
#endif
        SetOut(sw);
        Solve(new IO());
        Out.Flush();
    }

    static void Solve(IO io)
    {
        var m = io.I;
        
        for (var i = 0; i < m; i++)
        {
            var a = io.I;
            var b = io.I;
            var t = io.F;

            var n = a == 0 ? Exp(Pow(t, 1.0 / b)) : b == 0 ? Pow(t, 1.0 / a) :
                Halley.Iterate(
                    x => Pow(x, a) * Pow(Log(x), b) - t,
                    x => Pow(x, a - 1.0) * Pow(Log(x), b - 1.0) * (a * Log(x) + b),
                    x => Pow(x, a - 2.0) * Pow(Log(x), b - 2.0) * ((2.0 * a - 1.0) * b * Log(x) + (a - 1.0) * a * Pow(Log(x), 2.0) + (b - 1.0) * b),
                    2.0, 1e-9
                );

            WriteLine("{0:f9}", n);
        }
    }
}