Question

Find the reciprocal of : (-3/7)^​-2

Answer 1

$$\begin{gathered} \mathrm{Let}\mathrm{x}={\left(-\frac{3}{7}\right)}^{-2} \\ \Rightarrow \mathrm{x}={\left(-\frac{7}{3}\right)}^2\left[\mathbf{As}\mathbf{,}\mathbf{}{\mathbf{a}}^{\mathbf{-}\mathbf{m}}\mathbf{}\mathbf{=}\mathbf{}\frac{\mathbf{1}}{{\mathbf{a}}^{\mathbf{m}}}\right] \\ \Rightarrow \mathrm{x}=\frac{49}{9} \\ \mathrm{Now},\mathrm{reciprocal}=\frac{1}{\mathrm{x}}=\frac{9}{49}={\left(-\frac{3}{7}\right)}^2 \end{gathered}$$