#include <bits/stdc++.h>
using namespace std;
int main(){
    int m;
    cin>>m;
    double a,b,t;
    double e=exp(1);
    double ipsilon=pow(10,-10);
    double upper,lower,middle;
    for(int i=0;i<m;++i){
        cin>>a>>b>>t;
        if(b==0){
            middle=pow(t,1.0/a);
            goto travel;
        }
        if(a==0){
            middle=pow(e,pow(t,1.0/b));
            goto travel;
        }
        upper=10;
        lower=1;
        t=a/b*pow(t,1.0/b);
        while(upper-lower>ipsilon){
            middle=(upper+lower)/2;
            if(middle*log(middle)<t){
                lower=middle;
            }else{
                upper=middle;
            }
        }
        middle=pow(middle,b/a);
        travel:{}
        printf("%.10f",middle);
        cout<<endl;
    }
}