document.write( "Question 291096: 7th grade Algebra\r
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Algebra.Com's Answer #210618 by Edwin McCravy(20060)\"\" \"About 
You can put this solution on YOUR website!
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document.write( "\"++%28+%283np%29+%2F+%282n%5E5p%5E2%29++%29%5E4\"\r\n" );
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document.write( "Make sure every factor, whether it's a number or a letter, \r\n" );
document.write( "in the numerator and the denominator shows its exponent even \r\n" );
document.write( "if its exponent is 1 understood:\r\n" );
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document.write( "\"%28%283%5E1n%5E1p%5E1%29%2F%282%5E1n%5E5p%5E2%29%29%5E4+\"\r\n" );
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document.write( "To remove the parentheses, multiply every exponent inside\r\n" );
document.write( "the parentheses by the 4 exponent outside the parentheses:\r\n" );
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document.write( "\"++%283%5E4n%5E4p%5E4%29+%2F+%282%5E4n%5E20p%5E8%29\"\r\n" );
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document.write( "Use the rule for subtracting exponents:\r\n" );
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document.write( "If a factor of the numerator has the same base as a\r\n" );
document.write( "factor of the denominator, then \r\n" );
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document.write( "1. If the exponent in the NUMERATOR is larger than the\r\n" );
document.write( "   exponent in the DENOMINATOR, then subtract the exponents\r\n" );
document.write( "   (larger minus smaller) and place the result as an exponent\r\n" );
document.write( "   of the base in the NUMERATOR.\r\n" );
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document.write( "2. If the exponent in the DENOMINATOR is larger than the\r\n" );
document.write( "   exponent in the NUMERATOR, then subtract the exponents\r\n" );
document.write( "   (larger minus smaller) and place the result as an exponent\r\n" );
document.write( "   of the base in the DENOMINATOR. \r\n" );
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document.write( "We see in\r\n" );
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document.write( "\"++%283%5E4n%5E4p%5E4%29+%2F+%282%5E4n%5E20p%5E8%29\"\r\n" );
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document.write( "that the n in the denominator has a larger exponent than the\r\n" );
document.write( "n in the numerator so we subtract 20-4, getting 16 and place\r\n" );
document.write( "\"n%5E16\" in the denominator, since the larger exponent was\r\n" );
document.write( "there:\r\n" );
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document.write( "\"++%283%5E4p%5E4%29+%2F+%282%5E4n%5E16p%5E8%29\"\r\n" );
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document.write( "We also see that the p in the denominator has a larger exponent \r\n" );
document.write( "than the p in the numerator so we subtract 8-4, getting 4 and place\r\n" );
document.write( "\"p%5E4\" in the denominator, since the larger exponent was\r\n" );
document.write( "there:\r\n" );
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document.write( "\"++%283%5E4%29+%2F+%282%5E4n%5E16p%5E4%29\"\r\n" );
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document.write( "The only thing left to do is to replace the \"3%5E4\" by\r\n" );
document.write( "\"81\" and the \"2%5E4\" by \"16\"\r\n" );
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document.write( "\"++81+%2F+%2816n%5E16p%5E4%29\"\r\n" );
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document.write( "That's it!\r\n" );
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document.write( "Edwin
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