Answer
$4c^{4}$
Work Step by Step
The area of a triangle, Area = $\frac{1}{2}$ X $base$ X $height$
Hence, Area = $\frac{1}{2}$ X $2c^{3}$ X $4c$
This becomes : Area = $\frac{1}{2}$ X $8$ X $c^{3}$ X $c$
This becomes : Area =$4$ X $c^{3+1}$
(since the exponents are added while multipliying with the same base)
Final result : Area = $4$ X $c^{4}$ = $4c^{4}$