The first question asks, if we're given

this power law and we put it on a log-log

plot, what will the slope of the line be?

Remember that if we take the logarithm of

both sides of this y = x ^-3 equation, we

get the log of y is equal to -3 times the

log of x. That is just a rule we learned

in an earlier unit when we talked about

logarithms. Ok, now if we plotted

log(y) vs log(x) that is a straight line

with slope -3, so the answer is B.

Problem 2, we see that this is a straight

line on a log-log plot with slope 1/4,

and so the power law is going to have an

exponent of 1/4, and it's going to be

y = x ^ 1/4