What's wrong with this argument about fractional exponents?
6721
math fallacy problem: $-1= (-1)^3 = (-1)^{6/2} = \sqrt{(-1)^6}= 1$?
13018
Why is $1^{\infty}$ considered to be an indeterminate form
13533
Proof that the limit of $\frac{1}{x}$ as $x$ approaches $0$ does not exist
79160
Why do most formulas in physics have integer and rational exponents?
24139
Logical explanation why exponentiation operation is not commutative and associative
120719
Why isn't it $E \approx 27.642 \times mc^2$?
84315
Why can't polynomials have negative exponents or division by a variable
59818
Why $(-2)^{2.5}$ isn't equal to $((-2)^{25})^{1/10}$?
118387
How to extend summations to fractional orders?
17211
Is it wrong to tell children that $1/0 =$ NaN is incorrect, and should be $∞$?
64941
Why is $1 - \frac{1}{1 - \frac{1}{1 - \ldots}}$ not real?
136602
Why is $\int_1^{\infty}(1/x^2)\,dx$  less than $\sum_{n=1}^{\infty} 1/(n^2)$?
158420
Is $\frac00=\infty$? And what is $\frac10$? Are they same? Does it hold true for any constant $a$ in $\frac{a}0$
60055
Solving a fractional inequality without trial and error
55095
Why can't we separate fraction powers in euler's formula?
144515
Equation with high exponents
29693
Would someone please explain this argument? (Legendre formula)