#include using namespace std; int main() { int m; scanf("%d", &m); double e = exp(1); while(m--) { int a, b; double t, l, r, n, p; scanf("%d%d%lf", &a, &b, &t); if (!b) { printf("%.12f\n", pow(t, 1.0 / a)); continue; } if (!a) { printf("%.12f\n", exp(pow(t, 1.0 / b))); continue; } double tt = pow(t * a / b, 1.0 / b); l = min(e, tt); r = max(e, tt); /* if (expl(a) > t) { l = powl(t, 1.0l / a); r = e; } else { l = e; r = powl(t, 1.0l / a); } */ while (r - l > 1e-10) { n = (l + r) / 2; if (n * log(n) > tt) { r = n; } else { l = n; } } printf("%.12f\n", pow((l + r) / 2, 1.0 * b / a)); } return 0; }