Let the number should \((\frac{5}{3})^{-2}\) be multiplied by x
According to the question:
\(x\times (\frac{5}{3})^{-2}\)= \((\frac{7}{3})^{-1}\)
\(x\times (\frac{3}{5})^{2}\)= \(\frac{3}{7}\)[Using \(a^{-n}=\frac{1}{a^{n}}\)]
\(x= \frac{3}{7}\div (\frac{3}{5})^{2}\)
\(x=\frac{3}{7}\times \frac{25}{7}=\frac{25}{21}\)[Using and \(\frac{1}{a}\div \frac{1}{b}\)= \(\frac{1}{a}\times \frac{b}{1}\)]
Therefore
\((\frac{1}{2})^{-1}\) should be multiplied by \(\frac{25}{21}\)
