document.write( "Question 753563: I need help solving for x: ((3x^2)^-1(3x^5)^-2)/(3^-1*x^-2)^3 \n" ); document.write( "
Algebra.Com's Answer #458450 by Edwin McCravy(20060)\"\" \"About 
You can put this solution on YOUR website!
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document.write( "We cannot \"solve that for x\" because it is not an equation.\r\n" );
document.write( "Equations always contain the equal sign \" = \" but what we have\r\n" );
document.write( "above does not contain an equal sign.  Could there be a typo?\r\n" );
document.write( "Maybe not.  Perhaps instead the instructions was \"simplify the \r\n" );
document.write( "expression, leaving final answer with only positive exponents\".\r\n" );
document.write( "If so, then:\r\n" );
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document.write( "\"%28%283x%5E2%29%5E%28-1%29%283x%5E5%29%5E%28-2%29%29%2F%283%5E%28-1%29%2Ax%5E%28-2%29%29%5E3\"\r\n" );
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document.write( "Give every factor inside parentheses an exponent.\r\n" );
document.write( "If it doesn't have one, give it a 1 exponent:\r\n" );
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document.write( "To remove the parentheses, multiply every exponent\r\n" );
document.write( "which is inside a set of parentheses by the exponent outside\r\n" );
document.write( "the parentheses on the right:\r\n" );
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document.write( "\"%283%5E%28-1%29x%5E%28-2%293%5E%28-2%29x%5E%28-10%29%29%2F%283%5E%28-3%29%2Ax%5E%28-6%29%29\"\r\n" );
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document.write( "Get rid of all the negative exponents by moving the factors\r\n" );
document.write( "from the numerator to the denominator or denominator to the\r\n" );
document.write( "numerator and changing the sign of the exponent to positive:\r\n" );
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document.write( "I just put those +'s in there for emphasis\r\n" );
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document.write( "\"%283%5E3%2Ax%5E6%29%2F%283%5E1x%5E2%2A3%5E2x%5E10%29\"\r\n" );
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document.write( "In the bottom, add the exponents of the 3's and \r\n" );
document.write( "add the exponents of the x's:\r\n" );
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document.write( "\"%283%5E3x%5E6%29%2F%283%5E3%2Ax%5E12%29\"\r\n" );
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document.write( "Cancel the 33's\r\n" );
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document.write( "\"%28cross%283%5E3%29x%5E12%29%2F%28cross%283%5E3%29%2Ax%5E6%29\"\r\n" );
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document.write( "\"x%5E6%2Fx%5E12\" \r\n" );
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document.write( "Subtract the exponents of the x's, larger minus smaller,\r\n" );
document.write( "12-6=6, and since the larger exponent 12 was on the bottom, we\r\n" );
document.write( "put the resulting \"x%5E6\" on the bottom, which means we have\r\n" );
document.write( "to put a \"1\" for the numerator:\r\n" );
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document.write( "\"1%2Fx%5E6\"\r\n" );
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document.write( "Edwin

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