document.write( "Question 656434: evaluate 4^0-8^(2/3)+9^(1/2) \n" ); document.write( "
Algebra.Com's Answer #409513 by Shana-D77(132)![]() ![]() You can put this solution on YOUR website! \n" ); document.write( "evaluate 4^0-8^(2/3)+9^(1/2) \n" ); document.write( " \n" ); document.write( "Let's break this into a few parts: \n" ); document.write( " \n" ); document.write( "First part: 4^0 = 1. All numbers raised ot the zero power are equal to 1. Always. We can go into this more if you want (just email me). \n" ); document.write( " \n" ); document.write( "Second part: 8^(2/3) \n" ); document.write( "8^(2/3) = (8^2)(8^(1/3)) \n" ); document.write( "8^2 = 64 and \n" ); document.write( "8^(1/3) = 2 [because 2*2*2 = 8], \n" ); document.write( "so 8^(2/3) = 64*2 = 128 \n" ); document.write( " \n" ); document.write( "Third part: 9^(1/2) \n" ); document.write( "Anything raised to the 1/2 is a square root. 25^(1/2) = 5, for example. \n" ); document.write( "So, 9^(1/2) = 3 \n" ); document.write( " \n" ); document.write( "Put the pieces together: \n" ); document.write( "0 - 128 + 3 = \n" ); document.write( "-128 + 3 = \n" ); document.write( "-125 \n" ); document.write( " |