SOLUTION: I NEED HELP WITH THIS EXERCISE! In an earthquake, a Seismic wave travels through the Earth layer, which gives out an energy that causes the earth to shake and also gives out low

Question 1196674: I NEED HELP WITH THIS EXERCISE!
In an earthquake, a Seismic wave travels through the Earth layer, which gives out an energy that causes the earth to shake and also gives out low frequency acoustic energy. The instrument seismograph is based on a logarithmic scale, called the Richter Scale. Since it’s a base 10 scale each number increase on the scale indicates an intensity 10 times stronger than the previous number on the scale.
The Midlands of South Carolina have been experiencing a “swarm” of earthquakes in recent months. The strongest registered 3.7 on the Richter Scale. If the smallest recorded during the swarm was 2.7, what is the mathematical relationship between the two recorded earthquakes? Explain.
Answer by amoresroy(361) (Show Source): You can put this solution on YOUR website!
Given:
Strongest earthquake at 3.7 on the Richter scale
Smallest earthquake at 2.7 on the Richter
Relationship between strongest and smallest
Can be written as 10^3.7 / 10^2.7 given the base 10 scale
Simplify
10^3.7 / 10^2.7 = 10^(3.7-2.7)
= 10^1
= 10
Answer
The strongest earthquake recorded is 10 times stronger
than the smallest earthquake.

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