5. Seismologists use the Richter scale to measure the magnitudes and intensity of earthquakes that occur all over the earth. (see below, some info about Richter scales, and intensity formula) Let’s say an earthquake hit Los Angeles, CA and had a magnitude of 3.4. If another earthquake hit Atlanta, GA and was a magnitude of 1.2, then how much more intense was the earthquake in LA?

158.49

Step-by-step explanation:

10^(3.4 - 1.2) = 158.48931924611

round to 158.49

use the power rule  

( a b ) n = a n b n

to distribute the exponent.

apply the product rule to  

3 x 2 y 3 . ( 3 x 2 ) 2 ( y 3 ) 2

apply the product rule to  

3 x 2 . 3 2 ( x 2 ) 2 ( y 3 ) 2

raise  

3

to the power of  

2 . 9 ( x 2 ) 2 ( y 3 ) 2 multiply the exponents in   ( x 2 ) 2

.

apply the power rule and multiply exponents,  

( a m ) n = a m n . 9 x 2 ⋅ 2 ( y 3 ) 2

multiply  

2   by   2 . 9 x 4 ( y 3 ) 2

multiply the exponents in  

( y 3 ) 2 .

apply the power rule and multiply exponents,  

( a m ) n = a m n . 9 x 4 y 3

⋅

2

multiply  

3   by   2 . 9 x 4 y 6

step-by-step explanation:

answer:

c. the third graph