Compute: (256)^0.16 × (256)^0.09

Concept / Approach

• For the same base, add exponents when multiplying: a^m × a^n = a^(m + n).
• Convert the result using prime factorization of the base.

Step-by-step calculation
(256)^0.16 × (256)^0.09 = 256^(0.16 + 0.09) = 256^0.25256 = 2^8 ⇒ 256^0.25 = (2^8)^(1/4) = 2^(8/4) = 2^2 = 4

Final Answer
4