Answer
$a^{\frac{1}{2}}.a^{\frac{1}{2}}=a$
Work Step by Step
$a^{\frac{1}{2}}.a^x=a$
$a^{\frac{1}{2}+x}=a^1$
Multiply the powers with the same base.
$\frac{1}{2}+x=1$
$x=1-\frac{1}{2}$
$x=\frac{1}{2}$
Therefore, the completed equation is:
$a^{\frac{1}{2}}.a^{\frac{1}{2}}=a$