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Larger of 199^100+200^100 and 201^100 is...

Larger of `199^100+200^100 and 201^100` is

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Larger of 99^50+100^50 and 101^50

The larger of 99^(50)+100^(50) and 101^(50) is:

10, 100, 200, 310, ?

800 400 200 100 50 ?

100, 101, 201, 108.

Which is larger : (99^(50)+100^(50)) or (101)^(50) .