#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(){
	int c;
	long m,i;
	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;
			while(e-s>0.0000000008){
				dif=result((s+e)/2.0);
				if(dif>0){
					s=(s+e)/2.0;
				}else{
					e=(s+e)/2.0;
				}
			}
			printf("%.10f\n",(s+e)/2.0);
		/*
		//c=0;
		e=22027.0;
		dif=result(e);
		c=0;
		while(c<8){
			e-=newresult(e);
			c++;
		}
		s=1.0;
		dif=result((s+e)/2.0);
		while(s-e>0.0000000008 || s-e<-0.0000000008){
			if(dif>0){
				s=(s+e)/2.0;
			}else{
				e=(s+e)/2.0;
			}
		}
		printf("%.10f\n",(s+e)/2.0);
		*/
		}
	}
	return 0;
}