Which equations expresses c in terms of a for all real numbers a, b, and c such that

Which of the following equations expresses c in terms of a for all real numbers a, b, and c such that a³ = b and b² = c ?

1. c = a⁶
2. c = a⁵
3. c = 2a³
4. c = a/2
5. c = a

Answer

The correct answer is A.

a³ = b

b² = (a³)²

Substituting this into the equation c = b²

c = (a³)²

c = a⁶