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
Answer (1)
16th Jan, 2024
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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