Question : If $(\frac{1}{5})^{3y}=0.008$, then the value of $(0.25)^{y}$ is:
Option 1: 0.25
Option 2: 6.25
Option 3: 2.5
Option 4: 53
Correct Answer: 0.25
Solution : $(\frac{1}{5})^{3y}=0.008$ ⇒ $0.2^{3y}=0.2^3$ ⇒ $3y=3$ ⇒ $y=1$ $\therefore (0.25)^{y}=(0.25)^{1}=0.25$ Hence, the correct answer is 0.25.
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