(256)0.16 × (256)0.09 = ?

(256)^0.16 × (256)^0.09 = ?

A 4

B 16

C 64

D 2

Correct Answer: Option A

(256)^0.16 × (256)^0.09
= 256^{0.16 + 0.09}
= 256^.25
= 256^25/100
= 256^1/4
= (4⁴)^1/4
= 4 ^{4 × (1/4)}
= 4¹
= 4