SOLUTION: [(x^-3 Y^2)^-1(2x^-3)^2 ] / (x^4 y^-2)^-2 simplify

Question 23187: [(x^-3 Y^2)^-1(2x^-3)^2 ] / (x^4 y^-2)^-2
simplify
Answer by rapaljer(4671) (Show Source): You can put this solution on YOUR website!
Before I continue with this rather complicated problem, perhaps you should look at my newly posted Lesson Plans in algebra.com under the topic of Exponents. There is a lesson on Positive Exponents and a lesson on Zero and Negative Exponents. These lesson plans are complete with the explanations, examples, exercises, and answers to all the exercises that you need to do.

Now back to our problem:

Is that what you had in mind? I think this is right.

First, when you raise a power to a power, you multiply the exponents:

Next, when you multiply with the same base number, you must add the exponents:

When you divide with the same base number, you must subtract exponents:

Do you remember that means ? You had better see my Lesson Plan if you didn't know that!!

R^2 at SCC

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