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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:


( 2^(2) x^(3) )/( y^(5) )
which simplifies to

( 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).

(4 (2)^(3) )/( (-4)^(5) )
which simplifies to

(4(8))/((-1024)) = (32)/(-1024) = - (1)/(32)

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