SOLUTION: how do i sove this equation? (x^2)^-3(x^-2) over (x^2)^-4

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Question 74025: how do i sove this equation?
(x^2)^-3(x^-2)
over
(x^2)^-4
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

When you raise a base with an exponent to an exponent you multiply the exponents (ie ). For instance


When you multiply like bases with exponents, you add the exponents (ie )

Multiply the numerator by adding the exponents
When you divide like bases with exponents, you subtract the exponents (ie )



After all of that, we get an answer of 1. This means that for any value of x, I should get 1 everytime


Check:
Let x equal any number. Lets make x equal to 2

Plug in x=2




These cancel
If you want more proof, let x equal any other number and you will get 1. Hope this makes sense.