MAKE SURE THAT IS IT IN LATEX AND COMPILES WITH NO ISSUES, OR BAD RATING!!! ANSWER EVERYTHING CORRECTLY, AND ACCURATELY, NO MISTAKES!! Q$4.(*)$

Consider $R^{+}=\{x$:$x>0\}.$ We define the following operations:

$xy=xy,cx=x^c$ for cinR

Show that $V=(R^{+},,)$ is an $R-$vector space.