class Modulo_Error(Exception): pass class Modulo(): def __init__(self,a,n): self.a=a%n self.n=n def __str__(self): return "{} (mod {})".format(self.a,self.n) #+,- def __pos__(self): return self def __neg__(self): return Modulo(-self.a,self.n) #等号,不等号 def __eq__(self,other): if isinstance(other,Modulo): return (self.a==other.a) and (self.n==other.n) elif isinstance(other,int): return (self-other).a==0 def __neq__(self,other): return not(self==other) #加法 def __add__(self,other): if isinstance(other,Modulo): if self.n!=other.n: raise Modulo_Error("異なる法同士の演算です.") return Modulo(self.a+other.a,self.n) elif isinstance(other,int): return Modulo(self.a+other,self.n) def __radd__(self,other): if isinstance(other,int): return Modulo(self.a+other,self.n) #減法 def __sub__(self,other): return self+(-other) def __rsub__(self,other): if isinstance(other,int): return -self+other #乗法 def __mul__(self,other): if isinstance(other,Modulo): if self.n!=other.n: raise Modulo_Error("異なる法同士の演算です.") return Modulo(self.a*other.a,self.n) elif isinstance(other,int): return Modulo(self.a*other,self.n) def __rmul__(self,other): if isinstance(other,int): return Modulo(self.a*other,self.n) #Modulo逆数 def inverse(self): return self.Modulo_Inverse() def Modulo_Inverse(self): x0, y0, x1, y1 = 1, 0, 0, 1 a,b=self.a,self.n while b != 0: q, a, b = a // b, b, a % b x0, x1 = x1, x0 - q * x1 y0, y1 = y1, y0 - q * y1 if a!=1: raise Modulo_Error("{}の逆数が存在しません".format(self)) else: return Modulo(x0,self.n) #除法 def __truediv__(self,other): return self*(other.Modulo_Inverse()) def __rtruediv__(self,other): return other*(self.Modulo_Inverse()) #累乗 def __pow__(self,m): u=abs(m) r=Modulo(pow(self.a,u,self.n),self.n) if m>=0: return r else: return r.Modulo_Inverse() #========================---===================== T=int(input()) Mod=10**9+7 Y=[0]*T for i in range(T): X,K=map(int,input().split()) beta=(1/Modulo(K,Mod-1)).a Y[i]=(Modulo(X,Mod)**beta).a print(*Y,sep="\n")