description: Moamen and Ezzat are playing a game. They create an array a of n non-negative integers where every element is less than 2^k.
  
  Moamen wins if a_1  \&  a_2  \&  a_3  \&  …  \&  a_n ≥ a_1 ⊕ a_2 ⊕ a_3 ⊕ … ⊕ a_n.
  
  Here \& denotes the [bitwise AND operation](https://en.wikipedia.org/wiki/Bitwise_operation#AND), and ⊕ denotes the [bitwise XOR operation](https://en.wikipedia.org/wiki/Bitwise_operation#XOR).
  
  Please calculate the number of winning for Moamen arrays a.
  
  As the result may be very large, print the value modulo 1 000 000 007 (10^9 + 7).
  
  Input
  
  The first line contains a single integer t (1 ≤ t ≤ 5)— the number of test cases. 
  
  Each test case consists of one line containing two integers n and k (1 ≤ n≤ 2⋅ 10^5, 0 ≤ k ≤ 2⋅ 10^5).
  
  Output
  
  For each test case, print a single value — the number of different arrays that Moamen wins with.
  
  Print the result modulo 1 000 000 007 (10^9 + 7).
  
  Example
  
  Input
  
  
  3
  3 1
  2 1
  4 0
  
  
  Output
  
  
  5
  2
  1
  
  Note
  
  In the first example, n = 3, k = 1. As a result, all the possible arrays are [0,0,0], [0,0,1], [0,1,0], [1,0,0], [1,1,0], [0,1,1], [1,0,1], and [1,1,1].
  
  Moamen wins in only 5 of them: [0,0,0], [1,1,0], [0,1,1], [1,0,1], and [1,1,1].
solution: #include <bits/stdc++.h>
  using namespace std;
  mt19937 rng(chrono::steady_clock::now().time_since_epoch().count());
  template <typename T>
  istream& operator>>(istream& in, vector<T>& v) {
    for (auto& x : v) in >> x;
    return in;
  }
  template <typename T>
  ostream& operator<<(ostream& out, const vector<T>& v) {
    for (auto& x : v) out << x << ' ';
    return out;
  }
  template <typename T1, typename T2>
  istream& operator>>(istream& in, pair<T1, T2>& p) {
    in >> p.first >> p.second;
    return in;
  }
  template <typename T1, typename T2>
  ostream& operator<<(ostream& out, const pair<T1, T2>& p) {
    out << p.first << ' ' << p.second;
    return out;
  }
  template <typename T>
  T inverse(T a, T m) {
    T u = 0, v = 1;
    while (a != 0) {
      T t = m / a;
      m -= t * a;
      swap(a, m);
      u -= t * v;
      swap(u, v);
    }
    assert(m == 1);
    return u;
  }
  template <typename T>
  class Modular {
   public:
    using Type = typename decay<decltype(T::value)>::type;
    constexpr Modular() : value() {}
    template <typename U>
    Modular(const U& x) {
      value = normalize(x);
    }
    template <typename U>
    static Type normalize(const U& x) {
      Type v;
      if (-mod() <= x && x < mod())
        v = static_cast<Type>(x);
      else
        v = static_cast<Type>(x % mod());
      if (v < 0) v += mod();
      return v;
    }
    const Type& operator()() const { return value; }
    template <typename U>
    explicit operator U() const {
      return static_cast<U>(value);
    }
    constexpr static Type mod() { return T::value; }
    Modular& operator+=(const Modular& other) {
      if ((value += other.value) >= mod()) value -= mod();
      return *this;
    }
    Modular& operator-=(const Modular& other) {
      if ((value -= other.value) < 0) value += mod();
      return *this;
    }
    template <typename U>
    Modular& operator+=(const U& other) {
      return *this += Modular(other);
    }
    template <typename U>
    Modular& operator-=(const U& other) {
      return *this -= Modular(other);
    }
    Modular& operator++() { return *this += 1; }
    Modular& operator--() { return *this -= 1; }
    Modular operator++(int) {
      Modular result(*this);
      *this += 1;
      return result;
    }
    Modular operator--(int) {
      Modular result(*this);
      *this -= 1;
      return result;
    }
    Modular operator-() const { return Modular(-value); }
    template <typename U = T>
    typename enable_if<is_same<typename Modular<U>::Type, int>::value,
                       Modular>::type&
    operator*=(const Modular& rhs) {
      value = normalize(static_cast<int64_t>(value) *
                        static_cast<int64_t>(rhs.value));
      return *this;
    }
    template <typename U = T>
    typename enable_if<is_same<typename Modular<U>::Type, int64_t>::value,
                       Modular>::type&
    operator*=(const Modular& rhs) {
      int64_t q = static_cast<int64_t>(static_cast<long double>(value) *
                                       rhs.value / mod());
      value = normalize(value * rhs.value - q * mod());
      return *this;
    }
    template <typename U = T>
    typename enable_if<!is_integral<typename Modular<U>::Type>::value,
                       Modular>::type&
    operator*=(const Modular& rhs) {
      value = normalize(value * rhs.value);
      return *this;
    }
    Modular& operator/=(const Modular& other) {
      return *this *= Modular(inverse(other.value, mod()));
    }
    template <typename U>
    friend const Modular<U>& abs(const Modular<U>& v) {
      return v;
    }
    template <typename U>
    friend bool operator==(const Modular<U>& lhs, const Modular<U>& rhs);
    template <typename U>
    friend bool operator<(const Modular<U>& lhs, const Modular<U>& rhs);
    template <typename U>
    friend std::istream& operator>>(std::istream& stream, Modular<U>& number);
  
   private:
    Type value;
  };
  template <typename T>
  bool operator==(const Modular<T>& lhs, const Modular<T>& rhs) {
    return lhs.value == rhs.value;
  }
  template <typename T, typename U>
  bool operator==(const Modular<T>& lhs, U rhs) {
    return lhs == Modular<T>(rhs);
  }
  template <typename T, typename U>
  bool operator==(U lhs, const Modular<T>& rhs) {
    return Modular<T>(lhs) == rhs;
  }
  template <typename T>
  bool operator!=(const Modular<T>& lhs, const Modular<T>& rhs) {
    return !(lhs == rhs);
  }
  template <typename T, typename U>
  bool operator!=(const Modular<T>& lhs, U rhs) {
    return !(lhs == rhs);
  }
  template <typename T, typename U>
  bool operator!=(U lhs, const Modular<T>& rhs) {
    return !(lhs == rhs);
  }
  template <typename T>
  bool operator<(const Modular<T>& lhs, const Modular<T>& rhs) {
    return lhs.value < rhs.value;
  }
  template <typename T>
  Modular<T> operator+(const Modular<T>& lhs, const Modular<T>& rhs) {
    return Modular<T>(lhs) += rhs;
  }
  template <typename T, typename U>
  Modular<T> operator+(const Modular<T>& lhs, U rhs) {
    return Modular<T>(lhs) += rhs;
  }
  template <typename T, typename U>
  Modular<T> operator+(U lhs, const Modular<T>& rhs) {
    return Modular<T>(lhs) += rhs;
  }
  template <typename T>
  Modular<T> operator-(const Modular<T>& lhs, const Modular<T>& rhs) {
    return Modular<T>(lhs) -= rhs;
  }
  template <typename T, typename U>
  Modular<T> operator-(const Modular<T>& lhs, U rhs) {
    return Modular<T>(lhs) -= rhs;
  }
  template <typename T, typename U>
  Modular<T> operator-(U lhs, const Modular<T>& rhs) {
    return Modular<T>(lhs) -= rhs;
  }
  template <typename T>
  Modular<T> operator*(const Modular<T>& lhs, const Modular<T>& rhs) {
    return Modular<T>(lhs) *= rhs;
  }
  template <typename T, typename U>
  Modular<T> operator*(const Modular<T>& lhs, U rhs) {
    return Modular<T>(lhs) *= rhs;
  }
  template <typename T, typename U>
  Modular<T> operator*(U lhs, const Modular<T>& rhs) {
    return Modular<T>(lhs) *= rhs;
  }
  template <typename T>
  Modular<T> operator/(const Modular<T>& lhs, const Modular<T>& rhs) {
    return Modular<T>(lhs) /= rhs;
  }
  template <typename T, typename U>
  Modular<T> operator/(const Modular<T>& lhs, U rhs) {
    return Modular<T>(lhs) /= rhs;
  }
  template <typename T, typename U>
  Modular<T> operator/(U lhs, const Modular<T>& rhs) {
    return Modular<T>(lhs) /= rhs;
  }
  template <typename T, typename U>
  Modular<T> power(const Modular<T>& a, const U& b) {
    assert(b >= 0);
    Modular<T> x = a, res = 1;
    U p = b;
    while (p > 0) {
      if (p & 1) res *= x;
      x *= x;
      p >>= 1;
    }
    return res;
  }
  template <typename T>
  bool IsZero(const Modular<T>& number) {
    return number() == 0;
  }
  template <typename T>
  string to_string(const Modular<T>& number) {
    return to_string(number());
  }
  template <typename T>
  std::ostream& operator<<(std::ostream& stream, const Modular<T>& number) {
    return stream << number();
  }
  template <typename T>
  std::istream& operator>>(std::istream& stream, Modular<T>& number) {
    typename common_type<typename Modular<T>::Type, int64_t>::type x;
    stream >> x;
    number.value = Modular<T>::normalize(x);
    return stream;
  }
  constexpr int md = (int)1e9 + 7;
  using mint = Modular<std::integral_constant<decay<decltype(md)>::type, md>>;
  const bool tests = 1;
  vector<mint> fact, invFact;
  void prepare(long long size) {
    if (size <= 0) return;
    fact.resize(size + 1);
    invFact.resize(size + 1);
    fact[0] = 1;
    invFact[0] = 1;
    for (mint i = 1; i != size + 1; i = i + 1) {
      fact[(int)i] = fact[(int)i - 1] * i;
      invFact[(int)i] = invFact[(int)i - 1] / i;
    }
  }
  mint nCr(long long n, long long r) {
    if (r < 0 || r > n) return 0;
    mint ans = fact[n];
    ans *= invFact[r];
    ans *= invFact[n - r];
    return ans;
  }
  void solve_case() {
    long long n;
    cin >> n;
    long long k;
    cin >> k;
    if (k == 0) {
      cout << "1\n";
      return;
    }
    if (n & 1) {
      mint temp = 0;
      for (int i = 1; i <= n; i += 2) {
        temp += nCr(n, i);
      }
      temp++;
      cout << power(temp, k) << "\n";
    } else {
      mint ans = 0;
      mint x = power((mint)2, n);
      mint temp = power(x, k - 1);
      mint aux = 0;
      for (int i = 0; i < n; i += 2) {
        aux += nCr(n, i);
      }
      mint ext = 1;
      for (int i = 1; i <= k; i++) {
        ans += (temp * ext);
        temp /= x;
        ext *= aux;
      }
      ans += ext;
      cout << ans << "\n";
    }
  }
  int32_t main() {
    ios_base::sync_with_stdio(false);
    cin.tie(NULL);
    cout.tie(NULL);
    prepare(2e5);
    long long testcase = 1;
    if (tests) cin >> testcase;
    cout << fixed << setprecision(10);
    for (long long test = 1; test <= testcase; test++) {
      solve_case();
    }
    return 0;
  }
  