#include <bits/stdc++.h>
using namespace std;
const int N = 2e5 + 5, OO = 0x3f3f3f3f, MOD = 1000000007;
const double EPS = 0.000000001;
int m, x;
long long p = 1, ans = 1;
unordered_map<int, int> freq;
long long power(int b, int p) {
  if (!p) return 1;
  long long sub = power(b, p >> 1) % MOD;
  return (p & 1 ? (((sub * sub) % MOD * b) % MOD) : (sub * sub) % MOD);
}
int main() {
  cin.sync_with_stdio(0);
  cin >> m;
  for (int i = 0; i < m; ++i) {
    cin >> x;
    ++freq[x];
  }
  int MODP = MOD - 1;
  bool f = 1;
  for (pair<int, int> factor : freq) {
    int e = factor.second + 1;
    if (f && e % 2 == 0) f = 0, e /= 2;
    p = (p * e) % MODP;
  }
  for (pair<int, int> factor : freq) {
    int e = factor.second;
    if (f) e /= 2;
    long long term = power(factor.first, (p * e) % MODP) % MOD;
    ans = (ans * term) % MOD;
  }
  printf("%lld\n", ans);
  return 0;
}
