document.write( "Question 313255: My book says that the solution to 10th root of 32 divided by 8th root of 4 results in the solution 4th root of 2 as a simplified answer. I don't know how this was arrived at. Any layout of the arrival to this answer would be much appreciated. \n" ); document.write( "
Algebra.Com's Answer #223992 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! My book says that the solution to 10th root of 32 divided by 8th root of 4 results in the solution 4th root of 2 as a simplified answer. I don't know how this was arrived at. \n" ); document.write( "------------- \n" ); document.write( "[(32)^(1/10)] / [(4)^(1/8)] \n" ); document.write( "---------- \n" ); document.write( "= [(2^5)^(1/10)] / [(2^2)^(1/8)] \n" ); document.write( "---------- \n" ); document.write( "= [(2)^(1/2)] / [(2)^(1/4)] \n" ); document.write( "---------- \n" ); document.write( "= 2^(1/4) \n" ); document.write( "------------------------------------ \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( "================= \n" ); document.write( " |