What does 2 2.5 mean ?We know that 2 2 means 2 ⋅ 2, 2 3 means 2 ⋅ 2 ⋅ 2, and 2 5 means 2 ⋅ 2 ⋅ 2 ⋅ 2 ⋅ 2 and so on and so forth. But what does 2 2.5 mean? I don't mean to say "How to find it out". I mean, what is the idea behind it? Is it something like "If S = V ⋅ T, then T = S V and T gets smaller as V gets bigger, and theoretically V can get so big that T might become 0. (that is, lim V → ∞ S V = 0 , ( T = S V ) )" but can't be shown physically?

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What does       2          2.5       mean ?We know that       2    2   means   2  ⋅  2,       2    3   means   2  ⋅  2  ⋅  2, and       2    5   means   2  ⋅  2  ⋅  2  ⋅  2  ⋅  2 and so on and so forth. But what does       2          2.5       mean? I don&#039;t mean to say &quot;How to find it out&quot;. I mean, what is the idea behind it? Is it something like &quot;If   S  =  V  ⋅  T, then   T  =      S    V   and   T gets smaller as   V gets bigger, and theoretically   V can get so big that   T might become   0. (that is,       lim          V      →      ∞            S    V    =  0  ,  (  T  =      S    V    )  )&quot; but can&#039;t be shown physically?

Larissa Hart · Accepted Answer

You multiply 2*2*2^(1/2) in other words when you do 2^(2.5).2^(1/2) is sqrt(2) by definition. There is no explanation other than the definition of a square root. 2^(2.5)=4sqrt2 but you can&#039;t show it physically; 4sqrt2 and sqrt2 are indeed constructible, but you can&#039;t say &quot;I take one object, double the amount I have, double it again, then take the amount of objects I have and multiply that by sqrt2; now I have 4sqrt2 objects.&quot;

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