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)); } else if (b == 0) { pr.println(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 = 1; double EPS = 1.e-10; for (int j = 0; j < 30; 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)); } } } 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); } } }