document.write( "Question 307374: (3x+1)^1/2=4 how do you work a fraction as an exponent?\r
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Algebra.Com's Answer #219884 by rapaljer(4671)\"\" \"About 
You can put this solution on YOUR website!
Raising to the 1/2 power means the same as \"square root.\" In this equation, in order to \"undo\" the square root, you must SQUARE both sides of the equation.\r
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\n" ); document.write( "\n" ); document.write( "\"+%283x%2B1%29%5E%281%2F2%29+=+4\"
\n" ); document.write( "\"sqrt%283x%2B1%29+=+4\"
\n" ); document.write( "\"3x%2B1+=+16\"
\n" ); document.write( "\"3x=15\"
\n" ); document.write( "\"x=5\"\r
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\n" ); document.write( "\n" ); document.write( "Check:
\n" ); document.write( "\"%283%2A5%2B1%29%5E%281%2F2%29=4\"
\n" ); document.write( "\"16%5E%281%2F2%29=4\"
\n" ); document.write( "\"sqrt%2816%29=4\"\r
\n" ); document.write( "\n" ); document.write( "It checks!\r
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\n" ); document.write( "\n" ); document.write( "For additional explanation on fractional exponents, please see my own website. You can find my website by doing a Google search for my name \"Dr. Robert J. Rapalje\". Look for \"Rapalje Homepage\", which should be the first item on the search. Once you find my homepage, for a written explanation, click on \"Basic, Intermediate, and College Algebra: One Step at a Time.\" Look in Intermediate Algebra in Chapter 3 for Section 3.05 Fractional Exponents. There you will find a detailed explanation, and solutions!! \r
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\n" ); document.write( "\n" ); document.write( "I have many other topics explained in this way from Basic, Intermediate, and College Algebra. Please check out my website to see what I have. It's all FREE, and if you send me an Email, I'll be glad to help you find something. \r
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\n" ); document.write( "\n" ); document.write( "Dr. Robert J. Rapalje, Retired
\n" ); document.write( "Seminole State College of Florida
\n" ); document.write( "Altamonte Springs Campus
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