from collections import defaultdict, deque, Counter from heapq import heapify, heappop, heappush import math from copy import deepcopy from itertools import combinations, permutations, product, combinations_with_replacement from bisect import bisect_left, bisect_right import sys def input(): return sys.stdin.readline().rstrip() def getN(): return int(input()) def getNM(): return map(int, input().split()) def getList(): return list(map(int, input().split())) def getListGraph(): return list(map(lambda x:int(x) - 1, input().split())) def getArray(intn): return [int(input()) for i in range(intn)] mod = 10 ** 9 + 7 MOD = 998244353 # import pypyjit # pypyjit.set_param('max_unroll_recursion=-1') sys.setrecursionlimit(10000000) inf = float('inf') eps = 10 ** (-15) dy = [0, 1, 0, -1] dx = [1, 0, -1, 0] ############# # Main Code # ############# def array_cnt(ar1, ar2, m): h = len(ar1) w = len(ar2[0]) row = ar1 col = [] for j in range(w): opt = [] for i in range(len(ar2)): opt.append(ar2[i][j]) col.append(opt) res = [[[0, 0] for i in range(w)] for i in range(h)] for i in range(h): for j in range(w): cnt = 0 for x, y in zip(row[i], col[j]): cnt += x * y res[i][j] = cnt res[i][j] %= m return res # AにXをK回累乗する def mat_expo(A, X, K, M): if K == 0: return A logk = K.bit_length() dp = [[[0, 0] for i in range(2)] for i in range(logk)] dp[0] = deepcopy(X) for i in range(1, logk): dp[i] = array_cnt(dp[i - 1], dp[i - 1], M) res = deepcopy(A) for i in range(logk): if K & (1 << i): res = array_cnt(res, dp[i], M) return res """ 約数の和 例えば2^2 * 3^1 = 12の場合 2^0 * 3^0 = 1は何回数えられるか 2が2^0, 2^1, 2^2の時、3が3^0, 3^1の時数えられるので2*3回 累積していく (2^0 * (2 - 0 + 1) + 2^1 * (2 - 1 + 1) + 2^2 * (2 - 2 + 1)) * (3^0 * (1 - 0 + 1) + 3^1 * (1 - 1 + 1)) = (2^3 - 1 + 2^2 - 1 + 2^1 - 1) / (2 - 1) * (3^2 - 1 + 3^1 - 1) / (3 - 1) (逆元はあとで求める) 1からスタートしてpでかけて1を足すをe+1回する e+2を引く (p-1)で割る """ L = getN() ans = 1 for _ in range(L): p, e = getNM() res = [[1, 1], [0, 0]] t = [[p, 0], [1, 1]] ans *= ((mat_expo(res, t, e + 1, mod)[0][0] - (e + 2)) % mod) ans %= mod ans *= pow(p - 1, mod - 2, mod) ans %= mod print(ans)