#include<stdio.h>
#include<math.h>

int a,b;

double beki(double x,int n){
	if(n==0) return 1;
	return x*beki(x,n-1);
}

double result(double x){
	return beki(x,a)*beki(log(x),b);
}


int main(){
	long m,i;
	double time,s,e,dif;
	scanf("%ld",&m);
	for(i=0;i<m;i++){
		scanf("%d %d %lf",&a,&b,&time);
		/*
		s=0.0;
		e=22027.0;
		dif=time-result((s+e)/2.0);
		while(dif>0.000000001 || dif<-0.000000001){
			if(dif>0){
				s=(s+e)/2.0;
			}else{
				e=(s+e)/2.0;
			}
			dif=time-result((s+e)/2.0);
		*/
		if(a==0){
			s=pow(2.718281828459,pow(time,1.0/(double)b));
		}else if(b==0){
			s=pow(time,1.0/(double)a);
		}else if(b%2==1){
			s=pow(2.718281828459,-1.0*(double)b/(double)a);
		e=22027.0;
		dif=time-result((s+e)/2.0);
		while(dif>0.000000001 || dif<-0.000000001){
			if(dif>0){
				s=(s+e)/2.0;
			}else{
				e=(s+e)/2.0;
			}
			dif=time-result((s+e)/2.0);
		}
		}else{
			if(result(1)<time){
				s=1.0;
		e=22027.0;
		dif=time-result((s+e)/2.0);
		while(dif>0.000000001 || dif<-0.000000001){
			if(dif>0){
				s=(s+e)/2.0;
			}else{
				e=(s+e)/2.0;
			}
			dif=time-result((s+e)/2.0);
		}
			}else{
				s=0.0;
		e=pow(2.718281828459,-1.0*(double)b/(double)a);
		dif=time-result((s+e)/2.0);
		while(dif>0.000000001 || dif<-0.000000001){
			if(dif>0){
				e=(s+e)/2.0;
			}else{
				s=(s+e)/2.0;
			}
			dif=time-result((s+e)/2.0);
		}
			}
		}
		printf("%.10f\n",s);
	}
	return 0;
}