On exponentiation of \(n\)-ary algebras (Q1320472)

For similar algebras \(G\) and \(H\), let \(G^ H\) be the set of all homomorphisms from \(H\) to \(G\). The author formulates obvious conditions on \(G\) and \(H\) for \(G^ H\) to become an algebra of the same type, for \((G^ H)^ K\) to be isomorphic to \(G^{H\times K}\), and the like.