Question

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Answer 1

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:

$\frac{ 2^{2} x^{3} }{ y^{5} }$
which simplifies to 
$\frac{ 4 x^{3} }{ y^{5} }$
now that everything is simplified, and all negative exponents are eliminated we can substitute x with 2, and y with (-4).
$\frac{4 (2)^{3} }{ (-4)^{5} }$
which simplifies to 
$\frac{4(8)}{(-1024)} = \frac{32}{-1024} = - \frac{1}{32}$

Final Answer: - \frac{1}{32} [/tex]