document.write( "Question 701931: Simplify the Expression. Write the Answer with positive exponents.\r
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Algebra.Com's Answer #432673 by Edwin McCravy(20059)\"\" \"About 
You can put this solution on YOUR website!
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document.write( "We want to remove the parentheses in the top.\r\n" );
document.write( "Let's first make sure every factor inside the\r\n" );
document.write( "parentheses shows its exponent.  That is, give\r\n" );
document.write( "the 15 an exponent of 1:\r\n" );
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document.write( "Remove the parentheses on top by distributing\r\n" );
document.write( "exponents.  That is, by multiplying each exponent \r\n" );
document.write( "inside the parentheses by the exponent outside\r\n" );
document.write( "the parentheses on the right:\r\n" );
document.write( "\"%0D%0A%2815%5E%28-2%29x%5E6y%5E%28-8%29%29%0D%0A%0D%0A%2F%2825x%5E%28-2%29y%5E%28-4%29%29\" \r\n" );
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document.write( "Next we make each factor with a negative exponent\r\n" );
document.write( "have a positive exponent by bringing from numerator\r\n" );
document.write( "to denominator or from denominator to numerator.\r\n" );
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document.write( "I'll do them one at a time, but you can do them all in\r\n" );
document.write( "one step.  \r\n" );
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document.write( "Move the \"15%5E%28-2%29\" from the top to the bottom as \"15%5E2\"\r\n" );
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document.write( "\"%0D%0A%28x%5E6y%5E%28-8%29%29%0D%0A%0D%0A%2F%2815%5E2%2A25x%5E%28-2%29y%5E%28-4%29%29\"\r\n" );
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document.write( "Move the \"y%5E%28-8%29\" from the top to the bottom as \"y%5E8\"\r\n" );
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document.write( "\"%0D%0A%28x%5E6%29+%0D%0A%0D%0A%2F%2815%5E2%2A25x%5E%28-2%29y%5E%28-4%29y%5E8%29%29\"\r\n" );
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document.write( "Move the \"x%5E%28-2%29\" from the bottom to the top as \"x%5E2\"\r\n" );
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document.write( "\"%0D%0A%28x%5E6x%5E2%29+%0D%0A%0D%0A%2F%2815%5E2%2A25y%5E%28-4%29y%5E8%29%29\"\r\n" );
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document.write( "Move the \"y%5E%28-4%29\" from the bottom to the top as \"y%5E4\"\r\n" );
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document.write( "\"%0D%0A%28x%5E6x%5E2y%5E4%29+%0D%0A%0D%0A%2F%2815%5E2%2A25y%5E8%29%29\"\r\n" );
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document.write( "Now we have only positive exponents.\r\n" );
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document.write( "Add the exponents of x in the top, getting \"x%2A6x%5E2\" as \"x%5E8\":\r\n" );
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document.write( "\"%0D%0A%28x%5E8y%5E4%29+%0D%0A%0D%0A%2F%2815%5E2%2A25y%5E8%29%29\"\r\n" );
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document.write( "Subtract the exponents of the y's.\r\n" );
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document.write( "Use the rule: Subtract them \"largest\r\n" );
document.write( "minus smallest, and put the result\r\n" );
document.write( "where the LARGER exponent was before\r\n" );
document.write( "subtracting.  So we subtract exponents\r\n" );
document.write( "of the y's as 8-4 or 4 and put \"y%5E4\"\r\n" );
document.write( "in the bottom because that's where the\r\n" );
document.write( "larger exponent of y was in the last step:\r\n" );
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document.write( "\"%0D%0A%28x%5E8%29+%0D%0A%0D%0A%2F%2815%5E2%2A25y%5E4%29%29\"\r\n" );
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document.write( "Finally we multiply the \"15%5E2%2A25\" out as 5625,\r\n" );
document.write( "and the final answer is:\r\n" );
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document.write( "\"%0D%0A%28x%5E8%29+%0D%0A%0D%0A%2F%285625y%5E4%29%29\"\r\n" );
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document.write( "Edwin
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