Where is the problem here:$-1=(-1)^1=(-1)^\frac{2}{2}=({(-1)}^{2})^{1/2}=\sqrt{1}=1$? Is there someone show me Why this is not true ?
$$-1=(-1)^1=(-1)^\frac{2}{2}=({(-1)}^{2})^{1/2}=\sqrt{1}=1$$
then :$$-1=1$$
Thank you for any help

You are not allowed to split indices like that if you have a negative number. $x=a^{bc} \not \implies x=(a^b)^c $ if a is negative. So the step $(-1)^1=((-1)^2)^{(1/2)}$ is wrong.
