document.write( "Question 1184035: Which of the following could be an exact value of n^4 where n is an integer?
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document.write( "A. 1.6 x 10^20
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document.write( "B. 1.6 x 10^21
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document.write( "C. 1.6 x 10^22
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document.write( "D. 1.6 x 10^23
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document.write( "E. 1.6 x 10^24
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document.write( "The correct answer is suppose to be A but I don't know how. \n" );
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Algebra.Com's Answer #814568 by Theo(13342)![]() ![]() You can put this solution on YOUR website! the fourth root of 1.6 * 10^20 is equal to:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "(1.6 * 10^20) ^ (1/4) which is equal to:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "(16 * 10^19) ^ (1/4) which is equal to:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "(2 * (10^19)^1/4) which is equal to:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "2 * 10^(19/4) which is not an integer.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "selection 1 doesn't appear to be good.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "i think it's going to be B.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "B is 1.6 * 10^21.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "this is equal to 16 * 10^20\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "the fourth root of that is (16 * 10^20) ^ (1/4) which is equal to:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "16^(1/4) * (10^20)^(1/4) which is equal to:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "2 * 10^5.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "that's the value of n.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "raise that to the 4th power to get:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "(2 * 10^5) ^ 4 which gets you:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "2^4 * (10^5)^4 which gets you:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "16 * 10^20 which is the same as:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "1.6 * 10^21.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "i'd go with selection B.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |