SOLUTION: Could someone please tell me if I am right? 3x^-5/2x^3 Is the answer 3/2x^8

Question 581121: Could someone please tell me if I am right?
3x^-5/2x^3
Is the answer 3/2x^8
Answer by bucky(2189) (Show Source): You can put this solution on YOUR website!
Given to simplify:
.

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You got the answer correct if you meant it to be interpreted as:
.

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You correctly recognized that you divide the two in the denominator into the 3 in the numerator. Then, if you recognized that in this problem the x term in the denominator is the divisor and the x term in the numerator is the dividend and when you divide these two you subtract the exponent 3 of the divisor from the exponent -5 of the dividend to get the answer .
.
So the answer to the problem could have been written as:
.
which is equivalent to
.
And by the rules of exponents, you can put the x term in the denominator, but in doing so its exponent changes sign. In this case the answer can be written as the answer that you got. Namely as:
.

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Hope this helps you to gain some further understanding of and confidence in the method that you used in working this problem. Good job!!! Keep it up!!!
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