If {(24)1/2}? = 256, find the value of '?'.

Given that, (2^{4x 1/2})^? = 256
Apply the law of Fractional Exponents and Laws of Exponents
⇒ (2²)^? = 2⁸
⇒ 2^{2 x ?} = 2⁸
⇒ 2 x ? = 8
∴ ? = 8/2 = 4