document.write( "Question 884618: How to do this 3/11^1/3 + 2/11^3/4= order of operation to simplify \n" ); document.write( "
Algebra.Com's Answer #534608 by Alan3354(69443)![]() ![]() You can put this solution on YOUR website! 3/11^1/3 + 2/11^3/4 \n" ); document.write( "---- \n" ); document.write( "If you mean \n" ); document.write( "... \n" ); document.write( "3/11^(1/3) + 2/11^(3/4) \n" ); document.write( "Find a common DEN, the product always works. \n" ); document.write( "DEN = 11^(1/3 + 3/4) = 11^(13/12) \n" ); document.write( "--> 3*11^(9/12)/DEN + 2*11^(4/12)/DEN \n" ); document.write( "= (3*11^(9/12) + 2*11^(4/12))/DEN \n" ); document.write( "= (3*11^(5/12)*11^(4/12) + 2*11^(4/12))/DEN \n" ); document.write( "= (3*11^(5/12) + 2)*11^(4/12)/11^(13/12) \n" ); document.write( "= (3*11^(5/12) + 2)/11^(9/12) \n" ); document.write( "Multiply by 11^(3/12) \n" ); document.write( "= (3*11^(8/12) + 2*11^(3/12))/11 \n" ); document.write( "= (3*11^(2/3) + 2*11^(1/4))/11 \n" ); document.write( "\"Simplified\" can be a matter of opinion. \n" ); document.write( "------------- \n" ); document.write( " \n" ); document.write( " |