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For many transcendental entire functions, the escaping set has the structure of a Cantor bouquet, consisting of uncountably many disjoint curves. Rippon and Stallard showed that there are many functions for which the escaping set has a new connected structure known as an infinite spider's web. We investigate a connection between these two topological structures for a certain class of sums of exponentials.Theorem 1.2. Let f ∈ F . Then J(f ) is a spider's web that contains a Cantor bouquet. Additionally, the curves minus the endpoints lie in A(f ).Remark. The result holds for functions of the form λf , where f ∈ F and λ > 0. The reasoning is similar but for simplicity we have given the proof for the case λ = 1. Additionally, when p is even, f is an even function, and the result holds for negative λ as well. PreliminariesThis section contains some of the preliminary results we will use, many taken from [17] with slight modifications in order to make their purpose clearer for the requirements of this paper. We also prove a lemma that follows as a corollary from these results.