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 = 0.01; // 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); } } }