document.write( "Question 152293: I need help ASAP PLEASE!!!\r
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Algebra.Com's Answer #111963 by Edwin McCravy(20055) $\"\"$ $\"About$

You can put this solution on YOUR website!
I need help ASAP PLEASE!!!\r
\n" ); document.write( "\n" ); document.write( "I need to simplify\r
\n" ); document.write( "\n" ); document.write( " $\"root%284%2C%283x%5E5%29%2F%2881y%5E3%29%29\"$ \r
\n" ); document.write( "\n" ); document.write( "Thank you so much!
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document.write( "Let's break everything down into primes:\r\n" );
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document.write( "Since the index is 4, we need to get all the groups of 4\r\n" );
document.write( "like factors that we can.  So we'll group \r\n" );
document.write( "and  in parentheses:\r\n" );
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document.write( "and replace  by \r\n" );
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document.write( "and replace  by  \r\n" );
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document.write( "But we need another  factor in the bottom\r\n" );
document.write( "so that we will have only groups of 4 like factors\r\n" );
document.write( "in the denominator. So we multiply top and bottom\r\n" );
document.write( "by another \r\n" );
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document.write( "Now we can also group the 4 's\r\n" );
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document.write( "Now we replace  by \r\n" );
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document.write( "Now when we take the 4th root of a 4th power\r\n" );
document.write( "we take away the 4th root radical and the 4\r\n" );
document.write( "exponent. That is we take them out of the \r\n" );
document.write( "radical.\r\n" );
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document.write( "Notice we take the entire denominator out of the\r\n" );
document.write( "radical, so there is no denominator left under the\r\n" );
document.write( "radical.  The only thing left under the radical\r\n" );
document.write( "are those factors left over after we grouped into\r\n" );
document.write( "4's.\r\n" );
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document.write( "Edwin

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