import math
import sys

def main():
    input = sys.stdin.read().split()
    idx = 0
    m = int(input[idx])
    idx += 1
    results = []
    for _ in range(m):
        a = int(input[idx])
        b = int(input[idx+1])
        t = float(input[idx+2])
        idx +=3
        
        if a == 0:
            exponent = t ** (1.0 / b)
            n = math.exp(exponent)
        elif b == 0:
            n = t ** (1.0 / a)
        else:
            initial_guess = t ** (1.0 / a)
            if initial_guess < 1.0:
                initial_guess = 2.0
            n_current = initial_guess
            for _ in range(100):
                ln_n = math.log(n_current)
                f = (n_current ** a) * (ln_n ** b) - t
                if abs(f) < 1e-15:
                    break
                term1 = a * ln_n + b
                if term1 == 0:
                    break
                derivative = (n_current ** (a-1)) * (ln_n ** (b-1)) * term1
                if derivative == 0:
                    break
                n_new = n_current - f / derivative
                if n_new <= 0:
                    break
                n_current = n_new
            n = n_current
        results.append("{0:.12f}".format(n))
    print('\n'.join(results))
    
if __name__ == '__main__':
    main()