document.write( "Question 175802: 13) Simplify SR(45x^23)\r
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\n" ); document.write( "\n" ); document.write( " 14) Simplify 4th root of (x^5 divided by 16y^15)\r
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\n" ); document.write( "\n" ); document.write( " 15) Simplify (x1/4 y1/2)2(x2y3)1/2\r
\n" ); document.write( "\n" ); document.write( "thanks so much.....so confused....can you show the steps please??? math is my weakest subject!! \n" ); document.write( "
Algebra.Com's Answer #130922 by gonzo(654)\"\" \"About 
You can put this solution on YOUR website!
number 13:
\n" ); document.write( "\"sqrt%2845%2Ax%5E23%29\"
\n" ); document.write( "to simplify you need to remove everything from under the radical as much as possible.
\n" ); document.write( "let's see how that would work in this case.
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\n" ); document.write( "how do i know i got the right answer?
\n" ); document.write( "i cheated by using the calculator.
\n" ); document.write( "i took a random value of x and solved for it in the original equation and in the simplified equation and got the same answer.
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\n" ); document.write( "how did i know to do what i did?
\n" ); document.write( "couple of concepts that helped:
\n" ); document.write( "\"sqrt%28x%5E2%29+=+x\"
\n" ); document.write( "\"x%5Ea%2Ax%5Ea+=+x%5E%282a%29\"
\n" ); document.write( "\"x%5Ea%2Ax%5Eb+=+x%5E%28a%2Bb%29\"
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\n" ); document.write( "these are all basic concepts that you should review if you're still confused by them.
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\n" ); document.write( "number 14:
\n" ); document.write( "\"root%284%2C%28x%5E5%29%2F%2816y%5E15%29%29\"
\n" ); document.write( "again, you need to simplify by removing everything from under the radical that can be removed.
\n" ); document.write( "after looking at this i came up on the following:
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\n" ); document.write( "again i cheated to prove the answer was correct by solving the original equation and the simplified equation for random values of x and y.
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\n" ); document.write( "i used the same concepts, except in this case i used:
\n" ); document.write( "\"root%284%2Cx%5E4%29+=+x\"
\n" ); document.write( "i also looked at \"y%5E15\" to see how i could get something to the 4th power out of it so that i could exctract that as well.
\n" ); document.write( "since \"y%5E12+=+%28y%5E3%29%5E4\" i figured that if i could extract \"y%5E12\" from \"y%5E15\", then i could also take that from under the radical.
\n" ); document.write( "since \"y%5E15+=+y%5E12%2Ay%5E3\" i was able to do that.
\n" ); document.write( "in order to do that, the concept used was:
\n" ); document.write( "\"x%5Ea%2Ax%5Eb+=+x%5E%28a%2Bb%29\"
\n" ); document.write( "in this case:
\n" ); document.write( "\"y%5E12%2Ay%5E3+=+y%5E%2812%2B3%29+=+y%5E15\" so i was good to go.
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\n" ); document.write( "number 15:
\n" ); document.write( "5) Simplify (x1/4 y1/2)2(x2y3)1/2
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\n" ); document.write( "i'm not quite sure what you mean by this but i'll take a stab at it.
\n" ); document.write( "i assume you mean:
\n" ); document.write( "\"%28x%5E%281%2F4%29%2Ay%5E%281%2F2%29%29%5E2%2A%28x%5E2%2Ay%5E3%29%5E%281%2F2%29\"
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\n" ); document.write( "if i'm correct in my assumption then this is how you would solve this problem.
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\n" ); document.write( "one of the concepts used is \"%28x%5Ea%29%5Eb+=+x%5E%28a%2Ab%29\"
\n" ); document.write( "another concept used is \"%28x%5Ea%2Ay%5Eb%29%5Ec+=+x%5E%28ac%29%2Ay%5E%28bc%29\"
\n" ); document.write( "we'll start with these and see what else we need.
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\n" ); document.write( "that's the left hand part of this equation.
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\n" ); document.write( "that's the right hand part of this equation.
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\n" ); document.write( "putting these together, you get:
\n" ); document.write( "\"x%5E%281%2F2%29%2Ay%2Ax%2Ay%5E%283%2F2%29%29\"
\n" ); document.write( "combining like terms using the concept \"x%5Ea%2Ax%5Eb+=+x%5E%28a%2Bb%29\", we get:
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\n" ); document.write( "i cheated again to prove the answer is correct.
\n" ); document.write( "looks like all 3 answers are good.
\n" ); document.write( "these are not simple problems and you have to keep track of everything as you work through them.
\n" ); document.write( "they all require the use of basic concepts to get the answers.
\n" ); document.write( "i would recommend you review the basic concepts again now that you have some idea of how they can be used.
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\n" ); document.write( "if you would like to do a review of the basic concepts, then i would recommend this website:
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\n" ); document.write( "http://www.wtamu.edu/academic/anns/mps/math/mathlab/beg_algebra/index.htm
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\n" ); document.write( "click on tutorial 26 (exponents).
\n" ); document.write( "they give a pretty decent review that is fairly easy to understand.
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\n" ); document.write( "try also this website:
\n" ); document.write( "http://www.wtamu.edu/academic/anns/mps/math/mathlab/int_algebra/index.htm
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\n" ); document.write( "click on tutorials 23 and 24.
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\n" ); document.write( "both these websites are the same place.
\n" ); document.write( "they give reviews on elementary algebra, intermediate algebra, college algebra.
\n" ); document.write( "start with the elementary and work up.
\n" ); document.write( "there's lots of good stuff in there that can help you if you're confused.
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