Answer:
To calculate how much more energy a magnitude-9 earthquake releases compared to that of a magnitude-7 earthquake, you can use the formula:
Energy (magnitude 9) = Energy (magnitude 7) * (10^(3/2))^(9-7)
Plugging in the values, you get:
Energy (magnitude 9) = Energy (magnitude 7) * (10^(3/2))^(9-7)
= Energy (magnitude 7) * (10^(3/2))^2
= Energy (magnitude 7) * 10^3
= Energy (magnitude 7) * 1000
This means that a magnitude-9 earthquake releases 1000 times more energy than a magnitude-7 earthquake.