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


public class Main_yukicoder456_1 {

	private static Scanner sc;
	private static Printer pr;

	private static void solve() {
		/*
		for (int a = 1; a <= 10; a++) {
			for (int b = 1; b <= 10; b++) {
//				for (int t = 0; t <= 99000; t++) {
				for (int t = 0; t < 2; t++) {
//					pr.printf("%.10f\n", f(0, 30000, 0.1 + (double)t / 10000, a, b));
//					double tmp = f(0, 30000, 0.1 + (double)t / 10000, a, b);
//					if (tmp < 1 || tmp > 10) {
//						pr.printf("%d %d %.4f\n", a, b, 0.1 + (double)t / 10000);
//						pr.println(tmp);
//						pr.println(Math.pow(Math.E, tmp));
//						pr.flush();
//					}
					pr.printf("%d %d %.4f\n", a, b, t == 0 ? 0.1 : 10);
					pr.printf("%.10f\n", f(0, 30000, t == 0 ? 0.1 : 10, a, b));
//					pr.printf("%.10f\n", f(0, 10, t == 0 ? 0.1 : 10, a, b));
				}
			}
		}

		pr.println(f(0, 30000, 10, 1, 1));
		pr.println(Math.pow(Math.E, f(0, 30000, 10, 1, 1)));
//		*/

		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.println(Math.pow(Math.E, t));
//				pr.printf("%.10f\n", Math.pow(Math.E, t));
//			} else if (b == 0) {
//				pr.println(Math.pow(Math.E, Math.log(t) / a));
//				pr.printf("%.10f\n", Math.pow(Math.E, Math.log(t) / a));
//			} else {
				/*
				double c = Math.log(t);
				double x = a * Math.pow(c, (double)1 / b) / b;
				double l1 = Math.log(x);
				double l2 = Math.log(l1);
//				double w = l1 - l2 + l2 / l1 + l2 * (-2 + l2) / 2 / l2 / l2;
				double w = l1 - l2;
				w = w * b / a;
				pr.println(x);
				pr.println(Math.pow(Math.E, w));
				*/

//				/*
//				double l = 0;
//				double r = 30000;
				double l = 0;
				double r = 10;
//				double EPS = 1.e-10;
				t = Math.log(t);
				for (int j = 0; j < 45; j++) {
//					if (r - l < EPS) {
//						pr.println("eps");
//						break;
//					}
					double mid = (l + r) / 2;

//					double f = Math.pow(mid, a) * Math.pow(Math.log(mid), b);
					double f = mid * a + Math.log(mid) * b;
//					pr.printf("%e %e\n", mid, f);
					if (f >= t) {
						r = mid;
					} else {
						l = mid;
					}
				}
//				pr.printf("%d %d %e\n", a, b, t);
//				pr.println(r);
//				pr.println(Math.pow(Math.E, r));
				pr.printf("%.10f\n", Math.pow(Math.E, r));
//			}
		}
	}

	private static double f(double l, double r, double t, int a, int b) {
		t = Math.log(t);

		for (int j = 0; j < 60; j++) {
			double mid = (l + r) / 2;

//			double f = Math.pow(mid, a) * Math.pow(Math.log(mid), b);
			double f = mid * a + Math.log(mid) * b;
//			pr.printf("%e %e\n", mid, f);
			if (f >= t) {
				r = mid;
			} else {
				l = mid;
			}
		}

		return r;
	}

	// ---------------------------------------------------
	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);
		}
	}
}