Entertaining mathematics
All of us, mathematicians and non-mathematicians, remember from high school and from university / university, the rule of exponentiation.
For example, (2 ^ 2) ^ 2 = 2 ^ (2 * 2) = 16. Ie degrees are multiplied.
Now for an example: (-2) ^ (1/3) = -1.25992105. Now we will square: ((-2) ^ (1/3)) ^ 2 = 1.58740105.
It can be seen that, according to the above rule, such a record can be presented in a more readable form:
(-2) ^ (2/3)
And now we ask Google to calculate this expression for us, we ask for this ms power calculator expression for us, and we ask for another program to be calculated. What happens, really what we expected?
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UPD: Strange attitude of users. Apparently, everyone thought that I was a fool. But the point is not that some people wrote below. What I expected from the example is that degrees multiply. Then why don't I merge the square and the cube root into one fraction, for me it will be more convenient, it seems like we are raising it once to a power. And on a piece of paper it is easier to write for differentiation. After all, in differentiation and integration, all degrees and roots are reduced to one common degree for the convenience of that very differentiation and integration. And people decided, judging by the estimates, that my hands are crooked, etc. etc.
Well, as I had to do, I prepared a formula for diff-i. And then I used it to find the value of the function at the point for the further construction of the graph. And here on you, imaginary unit, and the solution in the field of real numbers does not exist. It must be strange.
For example, (2 ^ 2) ^ 2 = 2 ^ (2 * 2) = 16. Ie degrees are multiplied.
Now for an example: (-2) ^ (1/3) = -1.25992105. Now we will square: ((-2) ^ (1/3)) ^ 2 = 1.58740105.
It can be seen that, according to the above rule, such a record can be presented in a more readable form:
(-2) ^ (2/3)
And now we ask Google to calculate this expression for us, we ask for this ms power calculator expression for us, and we ask for another program to be calculated. What happens, really what we expected?
')
UPD: Strange attitude of users. Apparently, everyone thought that I was a fool. But the point is not that some people wrote below. What I expected from the example is that degrees multiply. Then why don't I merge the square and the cube root into one fraction, for me it will be more convenient, it seems like we are raising it once to a power. And on a piece of paper it is easier to write for differentiation. After all, in differentiation and integration, all degrees and roots are reduced to one common degree for the convenience of that very differentiation and integration. And people decided, judging by the estimates, that my hands are crooked, etc. etc.
Well, as I had to do, I prepared a formula for diff-i. And then I used it to find the value of the function at the point for the further construction of the graph. And here on you, imaginary unit, and the solution in the field of real numbers does not exist. It must be strange.
Source: https://habr.com/ru/post/52974/
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