document.write( "Question 1012129: Please help me simplify this:\r
\n" ); document.write( "\n" ); document.write( "6th root of 256. \r
\n" ); document.write( "\n" ); document.write( "I get 2 times the 6th root of 4; however, the book answer is 2 times the third root of 2\r
\n" ); document.write( "\n" ); document.write( "sorry, I don't know how to put the math symbols in this application. Thank you in advance for the help.
\n" ); document.write( "
\n" ); document.write( "

Algebra.Com's Answer #627979 by Boreal(15235)\"\" \"About 
You can put this solution on YOUR website!
256^(1/6)
\n" ); document.write( "=16^2^(1/6)=16^(1/3)
\n" ); document.write( "={4^2}^1/3
\n" ); document.write( "=4^(2/3)
\n" ); document.write( "={2^2}^(2/3)
\n" ); document.write( "=2^(4/3)
\n" ); document.write( "=2^(3/3)*2^(1/3)
\n" ); document.write( "=2*2(1/3), which is what you want.
\n" ); document.write( "
\n" );