Question - Mathematical Fraction Calculation

Solution:

\(\frac{4}{y} = 7^{-3}\)

To solve for \(y\), first note that \(7^{-3} = \frac{1}{7^3} = \frac{1}{343}\). Now, set the fraction equal to \(y\).

\(\frac{4}{y} = \frac{1}{343}\)

Cross multiply to solve for \(y\):

\(4 \cdot 343 = y \cdot 1\)

\(y = 4 \cdot 343\)

\(y = 1372\)

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