use std::io;

fn main() {
    let mut input = String::new();
    io::stdin().read_line(&mut input).expect("Failed to read input");
    let q: i32 = input.trim().parse().expect("Invalid input");

    for _ in 0..q {
        let mut input = String::new();
        io::stdin().read_line(&mut input).expect("Failed to read input");
        let mut numbers = input.split_whitespace().map(|s| s.parse::<f64>().expect("Invalid input"));

        let a: f64 = numbers.next().unwrap();
        let b: f64 = numbers.next().unwrap();
        let t: f64 = numbers.next().unwrap();

        if a == 0.0 {
            println!("{}", f64::powf(2.718281828459045, f64::powf(t, 1.0 / b)));
            continue;
        }

        let mut max = 10.0;
        let mut min = 0.0;
        let epsilon = 1e-9;

        while max - min > epsilon {
            let mid = (max + min) / 2.0;

            if f64::powf(mid, a) * f64::ln(mid).powf(b) >= t {
                max = mid;
            } else {
                min = mid;
            }
        }

        println!("{}", (max + min) / 2.0);
    }
}