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The value of $${\left( {256} \right)^{\frac{5}{4}}}$$ is = ?
Answer & Solution
Correct Answer:
Option
C
$$\eqalign{
& {\left( {256} \right)^{\frac{5}{4}}} \cr
& = {\left( {{4^4}} \right)^{\frac{5}{4}}} \cr
& = {4^{\left( {4 \times \frac{5}{4}} \right)}} \cr
& = {4^5} \cr
& = 1024 \cr} $$
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