document.write( "Question 64750: Simplify each expression. Use only positive exponents.
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document.write( "(2x^-5 y^4)^3\r
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document.write( "Note: I left a space in the parenthesses so that you would know that 2x^-5 and y^4 are in the parenthesses. \n" );
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Algebra.Com's Answer #45834 by Edwin McCravy(20086) You can put this solution on YOUR website! \r\n" ); document.write( "Simplify each expression. Use only positive exponents.\r\n" ); document.write( "(2x^-5 y^4)^3\r\n" ); document.write( "\r\n" ); document.write( "(2x-5y4)3\r\n" ); document.write( "\r\n" ); document.write( "Make sure every factor, including the 2, inside the \r\n" ); document.write( "parentheses shows an exponent. So give the 2 its\r\n" ); document.write( "understood exponent of 1.\r\n" ); document.write( "\r\n" ); document.write( "(21x-5y4)3\r\n" ); document.write( "\r\n" ); document.write( "Now, remove the parentheses by multiply each of the \r\n" ); document.write( "three inside exponents by the outside exponent 3\r\n" ); document.write( "\r\n" ); document.write( "21·3x-5·3y4·3\r\n" ); document.write( "\r\n" ); document.write( "23x-15y12\r\n" ); document.write( "\r\n" ); document.write( "Now put this over 1\r\n" ); document.write( "\r\n" ); document.write( " 23x-15y12\r\n" ); document.write( "-----------\r\n" ); document.write( " 1\r\n" ); document.write( "\r\n" ); document.write( "and use the rule. \r\n" ); document.write( "\r\n" ); document.write( "To change the sign of the\r\n" ); document.write( "exponent of a factor of the numerator, move\r\n" ); document.write( "the base and the exponent from numerator to\r\n" ); document.write( "denominator, and change the sign of the\r\n" ); document.write( "exponent only:\r\n" ); document.write( "\r\n" ); document.write( "and vice-versa:\r\n" ); document.write( "\r\n" ); document.write( "[To change the sign of the\r\n" ); document.write( "exponent of a factor of the denominator, move\r\n" ); document.write( "the base and the exponent from denominator to\r\n" ); document.write( "numerator, and change the sign of the\r\n" ); document.write( "exponent only]\r\n" ); document.write( "\r\n" ); document.write( "But you need only the first rule to bove the\r\n" ); document.write( "x-15 to the bottom as x15\r\n" ); document.write( "\r\n" ); document.write( " 23y12\r\n" ); document.write( "------\r\n" ); document.write( " x15\r\n" ); document.write( "\r\n" ); document.write( "Now you can replace the 25 by 8, since\r\n" ); document.write( "2·2·2 = 8\r\n" ); document.write( "\r\n" ); document.write( " 8y12\r\n" ); document.write( "------\r\n" ); document.write( " x15\r\n" ); document.write( "\r\n" ); document.write( "Edwin\n" ); document.write( " |