The Richter Scale was devised by Charles Richter in $1940$ to compare the intensities of earthquakes. The intensity of an earthquake is determined by the amount of ground motion measured on a seismometer. Each increase of one unit in magnitude on the Richter scale corresponds to an increase of $10$ times the intensity measured on a seismometer.
Using this ratio, how many times more intense was the $1556$ earthquake in China with a magnitude of $8$ compared with the $2010$ earthquake in Haiti with a magnitude of $7$?
[By expressing the intensity ($I$) as an exponential function of the magnitude ($M$), you can compare the intensities of earthquakes that do not differ by a whole integer. $I={10}^M$]

The Richter Scale was devised by Charles Richter in $1940$ to compare the intensities of earthquakes. The intensity of an earthquake is determined by the amount of ground motion measured on a seismometer. Each increase of one unit in magnitude on the Richter scale corresponds to an increase of $10$ times the intensity measured on a seismometer.
[By expressing the intensity ($I$) as an exponential function of the magnitude ($M$), you can compare the intensities of earthquakes that do not differ by a whole integer. $I={10}^M$]

The world's most powerful earthquake was in Chile in $1960$ and registered magnitude $9.5$ on the Richter Scale. The deadliest recorded tsunami was caused by an earthquake which registered magnitude $9.1$ on the Richter scale off the coast of Indonesia in $2004$. If the earthquake in Chile was ${10}^k$ times more intense than the earthquake in Indonesia, find $k$.

The Richter Scale was devised by Charles Richter in $1940$ to compare the intensities of earthquakes. The intensity of an earthquake is determined by the amount of ground motion measured on a seismometer. Each increase of one unit in magnitude on the Richter scale corresponds to an increase of $10$ times the intensity measured on a seismometer.
[By expressing the intensity ($I$) as an exponential function of the magnitude ($M$), you can compare the intensities of earthquakes that do not differ by a whole integer. $I={10}^M$]

The two most costly earthquakes both occurred in Japan: the earthquake of $2011$ had a magnitude of $9.1$; the earthquake of $1995$ had a magnitude of $6.9$. If the earthquake in $2011$ was ${10}^k$  times more intense than the earthquake in $1995$, then find $k$.