document.write( "Question 829244: If a and b are different prime numbers how many factors does (a^3b^5)^4 have? \n" ); document.write( "

Algebra.Com's Answer #499957 by Edwin McCravy(20060) $\"\"$ $\"About$

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document.write( "Every factor will be of the form \r\n" );
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document.write( " where m=0,1,2,...,12 and n=0,1,2,...,20\r\n" );
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document.write( "For each of the 13 exponents we can choose for m,\r\n" );
document.write( "there are 21 exponents we can choose for n.\r\n" );
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document.write( "Answer 13×21 = 273 factors\r\n" );
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document.write( "Edwin

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