Question
Find the sub-triplicate ratio of $\frac{1}{8}: \frac{1}{125}$
✓
Answer
Sub-triplicate ratio of $\frac{1}{8}: \frac{1}{125}$
$
\begin{aligned}
& =\left(\frac{1}{8}\right)^{\frac{1}{3}}:\left(\frac{1}{125}\right)^{\frac{1}{3}} \\
& =\left[\left(\frac{1}{2}\right)^3\right]^{\frac{1}{3}}:\left[\left(\frac{1}{5}\right)^3\right]^{\frac{1}{3}} \\
& =\frac{1}{2}: \frac{1}{5} \\
& =5: 2 .
\end{aligned}
$
$
\begin{aligned}
& =\left(\frac{1}{8}\right)^{\frac{1}{3}}:\left(\frac{1}{125}\right)^{\frac{1}{3}} \\
& =\left[\left(\frac{1}{2}\right)^3\right]^{\frac{1}{3}}:\left[\left(\frac{1}{5}\right)^3\right]^{\frac{1}{3}} \\
& =\frac{1}{2}: \frac{1}{5} \\
& =5: 2 .
\end{aligned}
$
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