Exoplanetary research is a key component in the search for life outside of Earth and the Solar System. It provides people with a sense of wonder about their role in the evolution of the Universe and helps scientists understand life's potential throughout a seemingly infinite number of unique exoplanetary environments. The purpose of this research project is to identify the most plausible biosignature gases that would indicate life's existence in the context of hyperarid exoplanetary atmospheres. This analysis first defines hyperarid environments based on known analogues for Earth and Mars and discusses the methods that researchers use to determine whether or not an exoplanet is hyperarid. It then identifies the most relevant biosignatures to focus on based on the scientific literature on analogous hyperarid environments and ranks them in order from greatest to least biological plausibility within extreme hyperarid conditions. The research found that methane (CH4) and nitrous oxide (N2O) are the most helpful biosignature gases for these particular exoplanetary scenarios based on reviews of the literature. The research also found that oxygen (O2), hydrogen sulfide (H2S) and ammonia (NH3) are the biosignatures with the least likely biological origin and the highest likelihood of false positive detection. This analysis also found that carbon dioxide (CO2) is a useful companion biosignature within these environments when paired with either CH4 or the pairing of hydrogen (H2) and carbon monoxide (CO). This information will provide a useful road map for dealing with the detection of biosignatures within hyperarid exoplanetary atmospheres during future astrobiology research missions.