ABC26GN1876 · Surds and Indices

Subject: General Aptitude · Chapter: Surds and Indices · Exam: · Marks: · Difficulty:

If $\left(\frac{1}{5}\right)^{3 y}=0.008$, then find the value of $(0.25)^{y}$.
Answer
Answer (as printed):
Explanation
$\left(\frac{1}{5}\right)^{3 y}=0.008=\frac{8}{1000}=\frac{1}{125}=\left(\frac{1}{5}\right)^{3} \Leftrightarrow 3 y=3 \Leftrightarrow y=1$. $\therefore(0.25)^{y}=(0.25)^{1}=0.25$.

Explanation as extracted from the printed page; notation may be imperfect.

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