document.write( "Question 287583: How many decimal digits are there in the number $\"2005%5E2005\"$ ?\r
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Algebra.Com's Answer #208495 by Edwin McCravy(20056) $\"\"$ $\"About$

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How many decimal digits are there in the number $\"2005%5E2005\"$
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document.write( "We use this principle:\r\n" );
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document.write( "If  is a positive integer which when\r\n" );
document.write( "written in its scientific notation form is:\r\n" );
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document.write( "that is, where  and  is a non-negative integer,\r\n" );
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document.write( "then  has  decimal digits.\r\n" );
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document.write( "For instance  has\r\n" );
document.write( " or  digits. \r\n" );
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document.write( "So let's get  in scientific notation:\r\n" );
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document.write( "Let \r\n" );
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document.write( "Take logs base 10 of both sides:\r\n" );
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document.write( "Use a principle of logs that allows an exponent to be written\r\n" );
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document.write( "Use your calculator on the right sidess;\r\n" );
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document.write( "Use the principle of writing a log equation as an \r\n" );
document.write( "equivalent exponential equation:\r\n" );
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document.write( "Write the right side as the sum of its whole part plus\r\n" );
document.write( "its decimal part:\r\n" );
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document.write( "Use the principle \r\n" );
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document.write( "Use your calculator to find \r\n" );
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document.write( "Write in standard scientific notation:\r\n" );
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document.write( "Therefore K has 6621 digits, choice B.\r\n" );
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document.write( "Edwin

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