document.write( "Question 55884: 9x^3y4/16a^4b^2 divided by 45x^4y^2/14a^7b please help simplify \n" ); document.write( "
Algebra.Com's Answer #37885 by Edwin McCravy(20056)\"\" \"About 
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(9x^3y^4)/(16a^4b^2) divided by (45x^4y^2)/(14a^7b) \r\n" );
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document.write( "  9x3y4     45x4y2\r\n" );
document.write( "-------- ÷ --------\r\n" );
document.write( " 16a4b2      14a7b\r\n" );
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document.write( "Invert the second fraction and change \r\n" );
document.write( "division to multiplication:\r\n" );
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document.write( "  9x3y4      14a7b \r\n" );
document.write( "-------- × --------\r\n" );
document.write( " 16a4b2     45x4y2\r\n" );
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document.write( "Indicate the multiplication of the numerators\r\n" );
document.write( "and the denominators so that you have just one\r\n" );
document.write( "fraction:\r\n" );
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document.write( "  (9)(14)x3y4a7b \r\n" );
document.write( "------------------\r\n" );
document.write( " (16)(45)a4b2x4y2\r\n" );
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document.write( "Begin by simplifying the numbers.  Cancel the\r\n" );
document.write( "9 into the 45, and divide the 14 and the 16\r\n" );
document.write( "each by 2:\r\n" );
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document.write( "   1   7\r\n" );
document.write( "  (9)(14)x3y4a7b \r\n" );
document.write( "------------------\r\n" );
document.write( " (16)(45)a4b2x4y2\r\n" );
document.write( "  8   5\r\n" );
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document.write( "So now we have:\r\n" );
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document.write( "   7x3y4a7b \r\n" );
document.write( " ------------\r\n" );
document.write( "  40a4b2x4y2\r\n" );
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document.write( "There are no eponentials with like \r\n" );
document.write( "bases in the numerator or in the \r\n" );
document.write( "denominator to add the exponents of.\r\n" );
document.write( "So we subtract exponents of \r\n" );
document.write( "exponentials with like bases\r\n" );
document.write( "between numerator and denominator:\r\n" );
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document.write( "We see there is an x3 on top and\r\n" );
document.write( "an x4 on the bottom. So we subtract\r\n" );
document.write( "larger minus smaller 4-3 and get 1\r\n" );
document.write( "and put x1 on the bottom because\r\n" );
document.write( "the larger exponent, 4, was on the\r\n" );
document.write( "bottom, and eliminate x from the\r\n" );
document.write( "top.\r\n" );
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document.write( "    7y4a7b \r\n" );
document.write( " ------------\r\n" );
document.write( "  40a4b2x1y2\r\n" );
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document.write( "We see there is a y4 on top and\r\n" );
document.write( "a y2 on the bottom. So we subtract\r\n" );
document.write( "larger minus smaller 4-2 and get 2\r\n" );
document.write( "and put y2 on the top because\r\n" );
document.write( "the larger exponent, 4, was on the\r\n" );
document.write( "top, and eliminate y from the\r\n" );
document.write( "bottom.\r\n" );
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document.write( "   7y2a7b \r\n" );
document.write( " ----------\r\n" );
document.write( "  40a4b2x1\r\n" );
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document.write( "We see there is an a7 on top and\r\n" );
document.write( "an a4 on the bottom. So we subtract\r\n" );
document.write( "larger minus smaller 7-4 and get 3\r\n" );
document.write( "and put a3 on the top because\r\n" );
document.write( "the larger exponent, 7, was on the\r\n" );
document.write( "top, and eliminate a from the\r\n" );
document.write( "bottom.\r\n" );
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document.write( "   7y2a3b \r\n" );
document.write( "  --------\r\n" );
document.write( "   40b2x1\r\n" );
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document.write( "We give the b on top its understood\r\n" );
document.write( "exponent of 1\r\n" );
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document.write( "   7y2a3b1 \r\n" );
document.write( "  ---------\r\n" );
document.write( "    40b2x1\r\n" );
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document.write( "We see there is a b1 on top and\r\n" );
document.write( "a b2 on the bottom. So we subtract\r\n" );
document.write( "larger minus smaller 2-1 and get 1\r\n" );
document.write( "and put b1 on the bottom because\r\n" );
document.write( "the larger exponent, 2, was on the\r\n" );
document.write( "bottom, and eliminate b from the\r\n" );
document.write( "top.\r\n" );
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document.write( "    7y2a3 \r\n" );
document.write( "   --------\r\n" );
document.write( "    40b1x1\r\n" );
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document.write( "We are done except for erasing the\r\n" );
document.write( "1 exponents, leaving them understood:\r\n" );
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document.write( "    7y2a3 \r\n" );
document.write( "   -------\r\n" );
document.write( "    40bx\r\n" );
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document.write( "That's the final simplified answer.\r\n" );
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document.write( "Edwin
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