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The value of $${\left( {256} \right)^{\frac{5}{4}}}$$  is = ?

A. 512

B. 984

C. 1024

D. 1032

Answer: Option C

Solution(By Examveda Team)

$$\eqalign{ & {\left( {256} \right)^{\frac{5}{4}}} \cr & = {\left( {{4^4}} \right)^{\frac{5}{4}}} \cr & = {4^{\left( {4 \times \frac{5}{4}} \right)}} \cr & = {4^5} \cr & = 1024 \cr} $$

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