In the dihedral group Dn, let R = R360/n and let F be any
Chapter 2, Problem 45E(choose chapter or problem)
In the dihedral group \(D_n\), let \(R=R_{360 / n}\) and let F be any reflection. Write each of the following products in the form \(R^i\) or \(R^i F\), where \(0 \leq i<n\).
a.\(\operatorname{In}D_4, F R^{-2} F R^5\)
b. \(\operatorname{In}D_5^4, R^{-3} F R^4 F R^{-2}\)
c. \(\operatorname{In} D_6, F R^5 F R^{-2} F\)
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