document.write( "Question 1132096: Given that 4^-n = 32.
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document.write( "Find the value of n \n" );
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Algebra.Com's Answer #748981 by Edwin McCravy(20063) You can put this solution on YOUR website! \r\n" ); document.write( "4-n = 32\r\n" ); document.write( "\r\n" ); document.write( "Write 4 as 22 and 32 as 25\r\n" ); document.write( "\r\n" ); document.write( "(22)-n = 25\r\n" ); document.write( "\r\n" ); document.write( "Multiply the exponents on the left to remove the\r\n" ); document.write( "parentheses:\r\n" ); document.write( "\r\n" ); document.write( "2-2n = 25\r\n" ); document.write( "\r\n" ); document.write( "Since the bases on both sides are the same, and \r\n" ); document.write( "are different from 1, the exponents must be\r\n" ); document.write( "equal also, so we set them equal:\r\n" ); document.write( "\r\n" ); document.write( "-2n = 5\r\n" ); document.write( "\r\n" ); document.write( " n = -5/2\r\n" ); document.write( "\r\n" ); document.write( "Edwin\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |