2018 · Q2
If x = y^a , y = z^b and z = x^c , then the value of abc is
Elementary MathematicsAlgebra
- A1
- B2
- C- 1
- D0
Explanation
Substituting successively: x = y^a = (z^b)^a = z^(ab) = (x^c)^(ab) = x^(abc). Since x^(abc) = x^1 for x > 0, x != 1, comparing exponents gives abc = 1. Hence option A.