document.write( "Question 1062576: the least integer power of 12 that is divisible by 18 raised to the power 180,,is\r
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\n" ); document.write( "\n" ); document.write( "i saw this question solved on your website and the answer was zero , but thats incorrect as thats not even an option. can someone please help explain the answer. for convenience the answer is 12 raised to power 360 ,,, but how/// \n" ); document.write( "
Algebra.Com's Answer #677534 by Edwin McCravy(20059)\"\" \"About 
You can put this solution on YOUR website!
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document.write( "18180 = (2132)180 = 21803360\r\n" );
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document.write( "Let N be the least integer power of 12 that is divisible by 18180.\r\n" );
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document.write( "12N = (2231)N = 22N3N\r\n" );
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document.write( "So we divide:\r\n" );
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document.write( "\"%282%5E%282N%29%2A3%5EN%29%2F%282%5E180%2A3%5E360%29\" = 2(2N-180)3(N-360).\r\n" );
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document.write( "The smallest integers N can be must be just enough to make\r\n" );
document.write( "sure those powers of 2 and 3 are not negative.\r\n" );
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document.write( "So N-360 = 0 or N = 360, \r\n" );
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document.write( "(and certainly then 2N-180 = 360-180=180 is not negative.)\r\n" );
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document.write( "So N = 360.\r\n" );
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document.write( "Edwin
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