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)
$$\eqalign{ & {\left( {256} \right)^{\frac{5}{4}}} \cr & = {\left( {{4^4}} \right)^{\frac{5}{4}}} \cr & = {4^{\left( {4 \times \frac{5}{4}} \right)}} \cr & = {4^5} \cr & = 1024 \cr} $$This Question Belongs to Arithmetic Ability >> Surds And Indices
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