Chapter 4.7, Problem 28MS

Here we celebrate the power of algebra as a powerful way of finding unknown quantities by naming them, of expressing infinitely many relationships and connect ions clearly and succinctly, and of uncovering pattern and structure.

Edge expenditures. The Math Club’s “Hypercube!” party planning requires they obtain sufficient dowels to serve as edges in their 6-dimensional hypercube decoration described in the previous Mindscape. If a cube inn dimensions has $n{2}^{n-1}$ edges, how many dowels does the Math Club need?