Question

complete the equation a^1/2×a___=a

Answer 1

When adding functions with the same base you simply add the exponents so:
$a^{1/2}*a^{x} = a^{1}$
$\frac{1}{2}+x = 1$
$x = \frac{1}{2}$

Thus to finish the equation you would say $a^{1/2}$