document.write( "Question 1200558: Find how many digits the base ten number $\"7+%5E+%287+%5E+7%29\"$ (That's 7 ^ (7 ^ 7) ) has when written in base seven. \n" ); document.write( "

Algebra.Com's Answer #834701 by ikleyn(52866) $\"\"$ $\"About$

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document.write( "Notice that  7^(7^7) = .\r\n" );
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document.write( "It means that in base 7 the number  7^(7^7)   has the leading digit 1 followed by  7^7 = 823543  zeroes.\r\n" );
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document.write( "In all, in base 7 the number  7^(7^7)  has  1 + 823543 = 823544 digits.  ANSWER\r\n" );
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