import java.io.*;
import java.util.*;


public class Main_yukicoder456_2 {

	private static Scanner sc;
	private static Printer pr;

	private static void solve() {
		int m = sc.nextInt();

		for (int i = 0; i < m; i++) {
			int a = sc.nextInt();
			int b = sc.nextInt();
			double t = sc.nextDouble();

			if (a == 0) {
				pr.printf("%.10f\n", Math.pow(Math.E, Math.pow(t, (double)1 / b)));
			} else if (b == 0) {
				pr.printf("%.10f\n", Math.pow(t, (double)1 / a));
			} else {
				double x = 1;
//				double x = 3;
				double g = a * x + b * Math.log(x);
//				double g = Math.pow(x, a) * Math.pow(Math.log(x), b);
				t = Math.log(t);
				double EPS = 1.e-9;

				while (Math.abs(g - t) > EPS) {
					x -= (g - t) / (a + b / x);
//					x -= (g - t) / (Math.pow(x, a - 1) * Math.pow(Math.log(x), b - 1) * (a * Math.log(x) + b));
					g = a * x + b * Math.log(x);
//					g = Math.pow(x, a) * Math.pow(Math.log(x), b);

//					pr.printf("%.10f\n", g);
				}

				pr.printf("%.10f\n", Math.pow(Math.E, x));
//				pr.printf("%.10f\n", x);
			}
		}
	}

	// ---------------------------------------------------
	public static void main(String[] args) {
		sc = new Scanner(System.in);
		pr = new Printer(System.out);

		solve();

		pr.close();
		sc.close();
	}

	@SuppressWarnings("unused")
	private static class Scanner {
		BufferedReader br;

		Scanner (InputStream in) {
			br = new BufferedReader(new InputStreamReader(in));
		}

		private boolean isPrintable(int ch) {
			return ch >= '!' && ch <= '~';
		}

		private boolean isCRLF(int ch) {
			return ch == '\n' || ch == '\r' || ch == -1;
		}

		private int nextPrintable() {
			try {
				int ch;
				while (!isPrintable(ch = br.read())) {
					if (ch == -1) {
						throw new NoSuchElementException();
					}
				}

				return ch;
			} catch (IOException e) {
				throw new NoSuchElementException();
			}
		}

		String next() {
			try {
				int ch = nextPrintable();
				StringBuilder sb = new StringBuilder();
				do {
					sb.appendCodePoint(ch);
				} while (isPrintable(ch = br.read()));

				return sb.toString();
			} catch (IOException e) {
				throw new NoSuchElementException();
			}
		}

		int nextInt() {
			try {
				// parseInt from Integer.parseInt()
				boolean negative = false;
				int res = 0;
				int limit = -Integer.MAX_VALUE;
				int radix = 10;

				int fc = nextPrintable();
				if (fc < '0') {
					if (fc == '-') {
						negative = true;
						limit = Integer.MIN_VALUE;
					} else if (fc != '+') {
						throw new NumberFormatException();
					}
					fc = br.read();
				}
				int multmin = limit / radix;

				int ch = fc;
				do {
					int digit = ch - '0';
					if (digit < 0 || digit >= radix) {
						throw new NumberFormatException();
					}
					if (res < multmin) {
						throw new NumberFormatException();
					}
					res *= radix;
					if (res < limit + digit) {
						throw new NumberFormatException();
					}
					res -= digit;

				} while (isPrintable(ch = br.read()));

				return negative ? res : -res;
			} catch (IOException e) {
				throw new NoSuchElementException();
			}
		}

		long nextLong() {
			try {
				// parseLong from Long.parseLong()
				boolean negative = false;
				long res = 0;
				long limit = -Long.MAX_VALUE;
				int radix = 10;

				int fc = nextPrintable();
				if (fc < '0') {
					if (fc == '-') {
						negative = true;
						limit = Long.MIN_VALUE;
					} else if (fc != '+') {
						throw new NumberFormatException();
					}
					fc = br.read();
				}
				long multmin = limit / radix;

				int ch = fc;
				do {
					int digit = ch - '0';
					if (digit < 0 || digit >= radix) {
						throw new NumberFormatException();
					}
					if (res < multmin) {
						throw new NumberFormatException();
					}
					res *= radix;
					if (res < limit + digit) {
						throw new NumberFormatException();
					}
					res -= digit;

				} while (isPrintable(ch = br.read()));

				return negative ? res : -res;
			} catch (IOException e) {
				throw new NoSuchElementException();
			}
		}

		float nextFloat() {
			return Float.parseFloat(next());
		}

		double nextDouble() {
//			return Double.parseDouble(next());
			double ret = 0;
			try {
				boolean flag = false;
				double base = 0.1;
				int ch = nextPrintable();
				do {
					if (ch == '.') {
						flag = true;
					} else {
						if (!flag) {
							ret *= 10;
							ret += ch - '0';
						} else {
							ret += (ch - '0') * base;
							base /= 10;
						}
					}
				} while (isPrintable(ch = br.read()));

				return ret;
			} catch (IOException e) {
				throw new NoSuchElementException();
			}
		}

		String nextLine() {
			try {
				int ch;
				while (isCRLF(ch = br.read())) {
					if (ch == -1) {
						throw new NoSuchElementException();
					}
				}
				StringBuilder sb = new StringBuilder();
				do {
					sb.appendCodePoint(ch);
				} while (!isCRLF(ch = br.read()));

				return sb.toString();
			} catch (IOException e) {
				throw new NoSuchElementException();
			}
		}

		void close() {
			try {
				br.close();
			} catch (IOException e) {
//				throw new NoSuchElementException();
			}
		}
	}

	private static class Printer extends PrintWriter {
		Printer(PrintStream out) {
			super(out);
		}
	}
}