#include #include #include #include #include #define REP(i, n) for (ll i = 0; i < n; i++) #define REP1(i, n) for (ll i = 1; i <= n; i++) #define RREP(i, n) for (ll i = n - 1; i >= 0; i--) #define RREP1(i, n) for (ll i = n; i >= 1; i--) #define FOR(i, a, b, c) for (ll i = a; i <= b; i += c) #define RFOR(i, a, b, c) for (ll i = a; i >= b; i -= c) #define MAX(a, b) (a > b ? a : b) #define MIN(a, b) (a < b ? a : b) #define INF 1145141919 typedef long long ll; int main() { int m; scanf("%d", &m); REP(i, m) { int a, b; double t; scanf("%d %d %lf", &a, &b, &t); if (a == 0) printf("%.9lf\n", exp(pow(t, (1.0 / b)))); else if (b == 0) printf("%.9lf\n", pow(t, (1.0 / a))); else { double d, n = 5.0; do { double t1 = log(n); double t2 = pow(n, a - 1); double t3 = pow(t1, b - 1); d = (t2 * n * t3 * t1 - t) / (t2 * t3 * (a * t1 + b)); n -= d; } while (fabs(d) > 10e-10); printf("%.9lf\n", n); } } return 0; }