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

int a,b;
double time;

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

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

double newresult(double x){
	return (x*log(x)-time)/((double)a*log(x)+(double)b);
}


int main(){
	long m,i,c;
	double s,e,dif;
	scanf("%ld",&m);
	for(i=0;i<m;i++){
		scanf("%d %d %lf",&a,&b,&time);
		if(a==0){
			printf("%.10f\n",pow(2.718281828459,pow(time,1.0/(double)b)));
		}else if(b==0){
			printf("%.10f\n",pow(time,1.0/(double)a));;
		}else{/*
			s=1.0;
		e=22027.0;
		dif=result((s+e)/2.0);
		c=0;
		while(dif>0.0000000007 || dif<-0.0000000007){
			if(dif>0){
				s=(s+e)/2.0;
			}else{
				e=(s+e)/2.0;
			}
			dif=result((s+e)/2.0);
			c++;
			printf("%.10f\n",s);
		}
		printf("%.10f %ld\n",(s+e)/2.0,c);
		*/
		//c=0;
		s=22027.0;
		dif=result(s);
		while(dif>0.0001 || dif<-0.0001){
			s-=newresult(s);
			dif=newresult(s);
			//c++;
		}
		dif=result(s);
		e=s;
		if(dif>0){
			while(result(e)<0){
				e+=1.0;
				//c++;
			}
		}else{
			e=s;
			while(result(s)<0){
				s-=1.0;
				//c++;
			}
		}
		dif=result((s+e)/2.0);
		while(dif>0.0000000007 || dif<-0.0000000007){
			if(dif>0){
				s=(s+e)/2.0;
			}else{
				e=(s+e)/2.0;
			}
			//printf("%f %.10f %.10f\n",dif,s,e);
			dif=result((s+e)/2.0);
			//c++;
		}
		printf("%.10f\n",(s+e)/2.0);
		
		
		}
	}
	return 0;
}