Question : What is the simplified value of $(0.00243)^{(0.2)}$?
Option 1: 0.3
Option 2: 0.03
Option 3: 0.003
Option 4: 0.0003
Correct Answer: 0.3
Solution :
$(0.00243)^{(0.2)}$
$=(0.00243)^{\frac{1}{5}}$
$= (\frac{243}{100000})^{\frac{1}{5}}$
$= (\frac{3^5}{10^5})^{\frac{1}{5}}$
$= \frac{3}{10}$
$= 0.3$
Hence, the correct answer is $0.3$.
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