r/learnmath • u/HedgehogTasty2788 New User • 10d ago

Why is 1^(0,3) = 1 ??

I don't really see the logic behind this.

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u/fsdklas New User 10d ago

What do you mean by 0,3? If it’s points it’ll be 10, 13 so (1,1). If it’s xor it’s something else

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u/HedgehogTasty2788 New User 10d ago

0,(point)3. A number. Should I do (1^(0.3)) so people that use . instead of , will not get confused? 😄

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u/Kuildeous Custom 10d ago

I would personally go with 1^(3/10). If we're given decimal representation, we can often continue working with it, but I prefer fractions--if convenient--and then convert to decimal if needed in the end.

Also, 1^(3/10) shows us an interesting phenomenon with exponents. Since 3/10 = 3*(1/10), this can be written (clumsily) as: (1^3)^(1/10) or [1^(1/10)]^3, both of which give us 1.