Step 1: Understanding the Concept:
Transition metals exhibit variable oxidation states due to participation of ns and (n-1)d electrons in bonding.
Step 2: Detailed Explanation:
Scandium (Sc) has electronic configuration [Ar] 3d\(^1\)4s\(^2\). It shows only +3 oxidation state (by losing all three valence electrons). It does not exhibit variable oxidation states because it cannot use its 3d electrons further.
Cu (+1, +2), V (+2,+3,+4,+5), Ni (+2,+3), Co (+2,+3) all show variable states.
Step 3: Final Answer:
Scandium does not exhibit variable oxidation state.