Very huge number!
Algebra
Level
2
What is the ratio between the ( 100 th ) root of ( 10^10^101 ) 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 .
110
89
99
215
147
217
109
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1 solution
the ( 100 th ) root of ( 10^10^101 ) = ( 10^10^99 ) .. and : the ( 100 th ) root of ( 10^100 ) = 10 .. then The ratio = 10^n where : n = ( 10^99 ) - 1 .. so : a = 10 and b = 99 .. then : a + b = 10 + 99 = 109 .