Very very huge number!
Algebra
Level
2
What is the ratio between the ( 100 th ) root of ( 10^10^100 ) and the ( 100 th ) root of ( 10^100 ) ? .. If you know that the ratio = ( 10^n ) .. and : n = ( a^b ) - 1 .. find the value of : a + b .
120
97
110
98
111
108
210
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1 solution
the ( 100 th ) root of ( 10^10^100 ) = 10^10^98 .. and the ( 100 th ) root of ( 10^100 ) = 10 .. then the ratio = 10^n : where : n = ( 10^98 ) - 1 .. so : a = 10 and b = 98 .. then : a + b = 10 + 98 = 108 .