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1. Richter scale is the most commonly used unit to measure the magnitude of earthquakes and to tell the intensity of earthquakes in figures by classifying the intensity of seismic wave. It is a data of seismic wave amplitude and period got by the researchers after considering the attenuation of seismic wave from source of earthquakes to observation point.(https://www.britannica.com/science/Richter-scale)

2. The pH scale is a logarithmic scale used to measure the acidity or alkalinity of a solution.  Law of exponents is a useful tool that can help students like me to do our mathematic paper. Thus, I think the link between pH scale and law of exponents could that we can use it in the further study of chemistry that related to the acidity and alkalinity.