Simplify. In the form of a paragraph, explain in complete sentences the steps necessary to simplify the expression and include the final answer in your explanation. Complete your work in the space provided or upload a file that can display math symbols if your work requires it.
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OpenStudy (anonymous):
OpenStudy (bloomlocke367):
first, you can get rid of the parantheses (?) by distributing the ^-2 to each of the terms. Do you know what I mean?
OpenStudy (anonymous):
i thiink yea so dont you subtract -2 and 3
OpenStudy (bloomlocke367):
no.. that's when you add exponents. you're multiplying here
OpenStudy (anonymous):
so x^-6 y^-2
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OpenStudy (bloomlocke367):
yes, and you have to do the same to the denominator.
OpenStudy (anonymous):
xy^-4
OpenStudy (bloomlocke367):
I think you're forgetting something.. try again.
OpenStudy (anonymous):
wait what x
OpenStudy (bloomlocke367):
okay.... what do you do with the x?
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OpenStudy (anonymous):
multiply that by 2 to?
OpenStudy (bloomlocke367):
yes. but remember, -2
OpenStudy (anonymous):
so x^-2 y^-4
OpenStudy (bloomlocke367):
Okay... now what do you have all together?
OpenStudy (anonymous):
x^-6 y^-2 over x^-2 y^-4
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OpenStudy (anonymous):
thank you :)
OpenStudy (bloomlocke367):
Okay... now you have to simplify your fraction. Do you know how to do that?\[\frac{x ^{-6}y ^{-2} }{ x ^{-2}y ^{-4} }\]
OpenStudy (bloomlocke367):
You'd have to first make all of the exponents positive.