document.write( "Question 948613:  Fill in the blank to make equivalent rational expressions.\r
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document.write( "8/3x^5 = ?/3x^7   \r
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document.write( "Trying to solve for the question mark. Thank you \n" );
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| Algebra.Com's Answer #579028 by Theo(13342)     You can put this solution on YOUR website! your equation is:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "8/3x^5 = ?/3x^7 \r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "cross multiply to get 8 * 3x^7 = ? * 3x^5\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "divide both sides of the equation by 3x^5 to get:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "(8 * 3x^7) / (3x^5) = ?\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "simplify to get 8 * x^2 = ?\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "that' your answer.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "? = 8x^2\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "your equation becomes:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "8 * 3x^7 = 8x^2 * 3x^5\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "8 * 3x^7 is equal to 24x^7\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "8x^2 * 3x^5 is equal to 24x^7\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "both sides of the equation are equal to each other confirming that ? = 8x^2\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "note that 8 * 3x^7 / 3x^5 is equal to 8 * 3/3 * x^7/x^5 which is equal to 8 * 1 * x^(7-5) which is equal to 8 * x^2 which is equal to 8x^2.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "note also that 8x^2 * 3x^5 is equal to 8 * 3 * x^2 * x^5 which is equal to 24 * x^(2+5) which is equal to 24 * x^7 which is equal to 24x^7.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |