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

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

1. 1
2. 2
3. 4
4. 8
5. None of the above

Correct Option: C

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