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Ahh yes, negative exponents always give us a scare once and a while. All the negative means is to flip the position of its base. For instance, if x has a negative exponent and x in the denominator, all you would have to do is move x to the numerator with the same power (except it's no longer negative). Before we substitute x and all the other variables which the values given, let's eliminate the negatives first.
After flipping positions/eliminating the negative exponents it should look like this:
which simplifies to
now that everything is simplified, and all negative exponents are eliminated we can substitute x with 2, and y with (-4).
which simplifies to
Final Answer: - \frac{1}{32} [/tex]
After flipping positions/eliminating the negative exponents it should look like this:
which simplifies to
now that everything is simplified, and all negative exponents are eliminated we can substitute x with 2, and y with (-4).
which simplifies to
Final Answer: - \frac{1}{32} [/tex]
To start, write your locations as points, with north and south being positive and negative y respectively and east and west being positive and negative x respectively. Doing this gives us the mall at (-3,-2) and the park at (4,5). Now, we use our distance formula 
to solve for the unknown distance. Plugging in with the park values as our second values and our mall values as our first values (as well as with our unknown distance as d), we get 
. This square root can be rounded to 9.9 miles.