document.write( "Question 540908: Use ration exponents to write x^1/5*y^1/2*z^1/8 as a single radical expression \n" ); document.write( "
Algebra.Com's Answer #353906 by Theo(13342)![]() ![]() You can put this solution on YOUR website! the least common multiple for the denominator of all the exponents is 40. \n" ); document.write( "1/5 = 8/40 \n" ); document.write( "1/2 = 20/40 \n" ); document.write( "1/8 = 5/40 \n" ); document.write( "use that to combine into one radical as follows: \n" ); document.write( "x^(1/5) * y^(1/2) * z^(1/8) is equal to: \n" ); document.write( "x^(8/40) * y^(20/40) * z^(5/40) which is equal to: \n" ); document.write( "(x^8 * y^20 * z^5) ^ (1/40). \n" ); document.write( "in radical form this is equal to: \n" ); document.write( "the 40th root of (x^8 * y^20 * z^5). \n" ); document.write( " \n" ); document.write( " |