The exponential function $y(x)=C{e}^x$ satisfies the conditions $y(0)=8$ and $y(1)=1.$

$($a$)$ Find the constants $C$ and $.$

NOTE: Enter the exact value of $.$

$($b$)$ Find $y(2).$

NOTE: Enter the exact answer. Simplify your answer so it does not contain any logarithms.

$y(2)=$

$$