document.write( "Question 581121: Could someone please tell me if I am right?
\n" ); document.write( "3x^-5/2x^3
\n" ); document.write( "Is the answer 3/2x^8 \n" ); document.write( "

Algebra.Com's Answer #371472 by bucky(2189) $\"\"$ $\"About$

You can put this solution on YOUR website!
Given to simplify:
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\n" ); document.write( " $\"%283x%5E%28-5%29%29%2F%282x%5E3%29\"$
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\n" ); document.write( "You got the answer correct if you meant it to be interpreted as:
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\n" ); document.write( " $\"3%2F2x%5E8\"$
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\n" ); document.write( "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 $\"x%5E3\"$ is the divisor and the x term in the numerator $\"x%5E%28-5%29\"$ 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 $\"x%5E%28-5-3%29+=+x%5E%28-8%29%29%29\"$ .
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\n" ); document.write( "So the answer to the problem could have been written as:
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\n" ); document.write( " $\"%283%2F2%29x%5E%28-8%29\"$ which is equivalent to $\"%283x%5E%28-8%29%29%2F2\"$
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\n" ); document.write( "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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\n" ); document.write( " $\"3%2F%282x%5E8%29\"$
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\n" ); document.write( "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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