Question : What is $(0.08 \% \text { of } 0.008 \% \text { of } 8)^{\frac1 9} ?$
Option 1: 0.2
Option 2: 0.08
Option 3: 0.8
Option 4: 0.64
Correct Answer: 0.2
Solution :
$(0.08 \% \text { of } 0.008 \% \text { of } 8)^{\frac{1}{9}}$
$= (8 × \frac{0.008}{100} × \frac{0.08}{100})^{\frac{1}{9}}$
$= [\frac{8 × 8 × 8}{100 × 1000 × 100 × 100}]^{\frac{1}{9}}$
$= [(\frac{2}{10})^9]^{\frac{1}{9}}$
$=\frac{2}{10}$
$= 0.2$
Hence, the correct answer is 0.2.
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