Hey there!
First of all, we can get rid of that [tex]2 ^{0} [/tex]. Anyting to the power of 0 is equal to one.
Now, we can apply our rule of a power to a power which states that:
[tex] (x^{a})^y = x^{ay} [/tex]
Therefore, since we have two to the fourth raised to the second power, we just multiply the powers to get [tex]2^8[/tex], or C.
Hope this helps!