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Examveda

(256)0.16 × (256)0.09 = ?

A. 4

B. 16

C. 64

D. 256.25

E. None of these

Answer: Option A

Solution(By Examveda Team)

(256)0.16 × (256)0.09 = (256)(0.16 + 0.09)
$$\eqalign{ & = {\left( {256} \right)^{0.25}} \cr & = {\left( {256} \right)^{\frac{{25}}{{100}}}} \cr & = {\left( {256} \right)^{\frac{1}{4}}} \cr & = {\left( {{4^4}} \right)^{\frac{1}{4}}} \cr & = {4^1} \cr & = 4 \cr} $$

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