A power law is a relationship between two variables Q and q where Q = q^k for some k. Basically, Q varies as a power of q.
The core idea: If you want to achieve Q, then find that q and k. And focus on increasing q.
Example:
The area of a square varies as a power of the side length of the square. We have Q = q^2 where Q is the area of the square and q is the side length. For example, If a square has a side length of 2, then the area is 2^2 = 4, now here's the VERY important thing to realize: if we double the side length, ie we have 2q instead of q, we get Q = (2q)^2 = 4q^2, i.e., Q has *quadrupled!*
The core idea: If you want to achieve Q, then find that q and k. And focus on increasing q.
Example:
The area of a square varies as a power of the side length of the square. We have Q = q^2 where Q is the area of the square and q is the side length. For example, If a square has a side length of 2, then the area is 2^2 = 4, now here's the VERY important thing to realize: if we double the side length, ie we have 2q instead of q, we get Q = (2q)^2 = 4q^2, i.e., Q has *quadrupled!*