[tex]\bf \dfrac{2}{5} -\dfrac{1}{3}=\dfrac{2\cdot 3}{5\cdot3}-\dfrac{1\cdot5}{3\cdot5}=\dfrac{6-5}{15}=\dfrac{1}{15}[/tex]
[tex]\bf (-2)^{2} \cdot 2^{6} :(-4)^{4} +2^{-1} =[/tex]
[tex]\bf 2^{2} \cdot 2^{6} :4^{4} +\dfrac{1}{2}=[/tex]
[tex]\bf 2^{2+6} :(2^{2})^{4} +\dfrac{1}{2}=[/tex]
[tex]\bf 2^{8} :2^{8} +\dfrac{1}{2}=[/tex]
[tex]\bf 1 +\dfrac{1}{2}=[/tex]
[tex]\bf \dfrac{2+1}{2}=[/tex]
[tex]\boxed{\bf \dfrac{3}{2}}[/tex]
[tex]\bf \dfrac{4}{5} +x = 1[/tex]
[tex]\bf x = 1-\dfrac{4}{5}[/tex]
[tex]\bf x = \dfrac{5-4}{5}[/tex]
[tex]\boxed{\bf x = \dfrac{1}{5}}[/tex]