5+8-3+5=? Help me out, this polyte person needs help

1. what is the formula for finding the vertical distance between two points on a coordinate plane?

Can someone plz me understand how to do these. plz, show work.in exercises 1-4, rewrite the expression in rational exponent form.[tex]\sqrt[4]{625} \sqrt[3]{512} (\sqrt[5]{4} )³ (\sqrt[4]{15} )^{7}\\ (\sqrt[3]{27} )^{2}[/tex]

Ahyperbola centered at the origin has a vertex at (-6,0) and a focus at (10,0)