Math Problem Solver

Prove that

(i) sqrt(x ^ - 1 * y) * sqrt(y ^ - 1 * z) * sqrt(z ^ - 1 * x) = 1

(ii) (chi ^ (1/(a - b))) ^ (1/(a - c)) * (chi ^ (1/(b - c))) ^ (1/(b - a)) * (chi ^ (1/(c - a))) ^ (1/(c - b)) = 1

(iii) (x ^ (a(b - c)))/(x ^ (b(a - c))) / (((x ^ b)/(x ^ a)) ^ c) = 1

(iv) ((x ^ (a + b)) ^ 2 * (x ^ (b + c)) ^ 2 * (x ^ (c + 2)) ^ 2)/((x ^ a * x ^ b * x ^ c) ^ 4) = 1