Question

What are three ways to get 256 using exponents

Answer 1

recall from the previous posting, 2⁸ = 256, so that's one way to represent it.

now, another way hmmm

$\bf 2^8\implies 2^{2\cdot 4}\implies (2^2)^4\implies (4)^4\implies 4^4 \\\\\\ \stackrel{\textit{yet another way}}{2^8\implies 2^{4\cdot 2}}\implies (2^4)^2\implies (16)^2\implies 16^2$