fn gcd(mut a: u64, mut b: u64) -> u64 {
    while b > 0 {
        let r = a % b;
        a = b;
        b = r;
    }
    a
}

fn pow_mod(r: u64, mut n: u64, m: u32) -> u64 {
    assert!(m > 0);
    if m == 1 {
        return 0;
    }
    let m = m as u64;
    let mut t = 1;
    let mut s = r % m;
    while n > 0 {
        if n & 1 == 1 {
            t = t * s % m;
        }
        s = s * s % m;
        n >>= 1;
    }
    t
}

fn factorize(mut n: u64) -> Vec<(u64, u32)> {
    let mut res = vec![];
    for k in 2.. {
        if k * k > n {
            break;
        }
        let mut c = 0;
        while n % k == 0 {
            n /= k;
            c += 1;
        }
        if c > 0 {
            res.push((k, c));
        }
    }
    if n > 1 {
        res.push((n, 1));
    }
    res
}

fn divisor(mut n: u64) -> Vec<u64> {
    let f = factorize(n);
    let mut res = vec![1];
    for (p, c) in f {
        let len = res.len();
        let mut mul = 1;
        for i in 1..=c {
            mul *= p;
            for j in 0..len {
                let v = res[j] * mul;
                res.push(v);
            }
        }
    }
    res
}

fn is_prime(n: u64) -> bool {
    (2u64..).take_while(|p| p * p <= n).all(|p| n % p != 0)
}
// ---------- begin input macro ----------
// reference: https://qiita.com/tanakh/items/0ba42c7ca36cd29d0ac8
macro_rules! input {
    (source = $s:expr, $($r:tt)*) => {
        let mut iter = $s.split_whitespace();
        input_inner!{iter, $($r)*}
    };
    ($($r:tt)*) => {
        let s = {
            use std::io::Read;
            let mut s = String::new();
            std::io::stdin().read_to_string(&mut s).unwrap();
            s
        };
        let mut iter = s.split_whitespace();
        input_inner!{iter, $($r)*}
    };
}

macro_rules! input_inner {
    ($iter:expr) => {};
    ($iter:expr, ) => {};
    ($iter:expr, $var:ident : $t:tt $($r:tt)*) => {
        let $var = read_value!($iter, $t);
        input_inner!{$iter $($r)*}
    };
}

macro_rules! read_value {
    ($iter:expr, ( $($t:tt),* )) => {
        ( $(read_value!($iter, $t)),* )
    };
    ($iter:expr, [ $t:tt ; $len:expr ]) => {
        (0..$len).map(|_| read_value!($iter, $t)).collect::<Vec<_>>()
    };
    ($iter:expr, chars) => {
        read_value!($iter, String).chars().collect::<Vec<char>>()
    };
    ($iter:expr, bytes) => {
        read_value!($iter, String).bytes().collect::<Vec<u8>>()
    };
    ($iter:expr, usize1) => {
        read_value!($iter, usize) - 1
    };
    ($iter:expr, $t:ty) => {
        $iter.next().unwrap().parse::<$t>().expect("Parse error")
    };
}
// ---------- end input macro ----------

use std::io::Write;

fn run() {
    let out = std::io::stdout();
    let mut out = std::io::BufWriter::new(out.lock());
    input! {
        t: usize,
        ask: [(u64, u64); t],
    }
    const MOD: u32 = 1_000_000_007;
    let f = factorize(MOD as u64);
    let phi = f.iter().fold(1, |s, &(p, a)| s * (p - 1) * p.pow(a - 1));
    let fp = factorize(phi);
    let phi_p = fp.iter().fold(1, |s, &(p, a)| s * (p - 1) * p.pow(a - 1));
    for (x, k) in ask {
        let ik = pow_mod(k, phi_p - 1, phi as u32);
        let ans = pow_mod(x, ik, MOD);
        assert!(pow_mod(ans, k, MOD) == x);
        writeln!(out, "{}", ans).ok();
    }
}

fn main() {
    run();
}