Find a power function, $f(x)$, satisfying the following.
a) The points $(2,16)$ and $\left(\dfrac{1}{3},\dfrac{1}{486}\right)$ lie on the graph of $f(x)$.
$f(x)=$

b)

$x$	2	3	5
$f(x)$	160	1215	15625

$f(x)=$

Hint: