import sys

# sys.setrecursionlimit(200005)
int1 = lambda x: int(x)-1
p2D = lambda x: print(*x, sep="\n")
def II(): return int(sys.stdin.readline())
def LI(): return list(map(int, sys.stdin.readline().split()))
def LI1(): return list(map(int1, sys.stdin.readline().split()))
def LLI(rows_number): return [LI() for _ in range(rows_number)]
def LLI1(rows_number): return [LI1() for _ in range(rows_number)]
def SI(): return sys.stdin.readline().rstrip()
# dij = [(0, 1), (-1, 0), (0, -1), (1, 0)]
dij = [(0, 1), (-1, 0), (0, -1), (1, 0), (1, 1), (1, -1), (-1, 1), (-1, -1)]
inf = 10**9
# md = 998244353
md = 10**9+7

# mod mdにおけるxの逆元を求める
# xとmdが互いに素でないと逆元は存在しない
def extgcd(x, md):
    md0 = md
    a, b = 1, 0
    while md:
        a, b = b, (a-x//md*b)
        x, md = md, x%md
    return a%md0

for _ in range(II()):
    x,k=LI()
    inv=extgcd(k,md-1)
    ans=pow(x,inv,md)
    print(ans)