DescriptionGiven a finite rank free group FN of rank ≥ 3 and two exponentially growing outer automorphisms ψ and φ with dual lamination pairs Λ± ψ and Λ± φ associated to them, which satisfy a notion of independence described in this paper, we will use the pingpong techniques developed by Handel and Mosher [14] to show that there exists an integer M > 0, such that for every m, n ≥ M, the group GM = hψ m, φn i will be a free group of rank two and every element of this free group which is not conjugate to a power of the generators will be fully irreducible and hyperbolic. We will also look at a different proof of the theorem of Kapovich and Lustig in [18] which shows that the Cannon-Thurston map for a fully-irreducible hyperbolic automorphism exists and is finiteto-one.