document.write( "Question 22042: Explain how you use the 5 rules of exponents to simplify the following expressions. Do not leave any negative exponents in your answer.: \r
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Algebra.Com's Answer #11861 by AnlytcPhil(1806)\"\" \"About 
You can put this solution on YOUR website!
(3x^2 · y^2) · (-5x · y^4)^2 \r\n" );
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document.write( "(3x2y2)(-5xy4)2\r\n" );
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document.write( "The left parenthetical expression has no outer exponents so\r\n" );
document.write( "we can erase the parentheses:\r\n" );
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document.write( "3x2y2(-5xy4)2\r\n" );
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document.write( "Write the remaining parenthetical expression as the bracketed\r\n" );
document.write( "expression [(-5)xy4]2 since you need to group the negative sign\r\n" );
document.write( "along with the 5 in parentheses for the -5 factor\r\n" );
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document.write( "3x2y2[(-5)xy4]2\r\n" );
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document.write( "Since the bracketed expression has an OUTER exponent, make sure\r\n" );
document.write( "every factor inside the bracket has an INNER exponent showing. \r\n" );
document.write( "If it doesn't, give it an INNER exponent of 1.  We give (-5) and\r\n" );
document.write( "x INNER exponents of 1 each.\r\n" );
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document.write( "3x2y2[(-5)1x1y4]2\r\n" );
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document.write( "Now remove the brackets by multiplying each INNER exponent by the\r\n" );
document.write( "OUTER exponent 2.\r\n" );
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document.write( "3x2y2(-5)1·2x1·2y4·2\r\n" );
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document.write( "3x2y2(-5)2x2y8\r\n" );
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document.write( "Rearrange the factors:\r\n" );
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document.write( "3(-5)2x2x2y2y8\r\n" );
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document.write( "Write (-5)2 as (25)\r\n" );
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document.write( "3(25)x2x2y2y8\r\n" );
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document.write( "Multiply 3 by 25 getting 75\r\n" );
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document.write( "75x2x2y2y8\r\n" );
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document.write( "Add the exponents of the two x2's, getting x4\r\n" );
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document.write( "75x4y2y8\r\n" );
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document.write( "Add the exponents of the y2 and the y8, getting y10\r\n" );
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document.write( "75x4y10\r\n" );
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document.write( "Edwin\r\n" );
document.write( "AnlytcPhil@aol.com
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