Question

Find the value of X if X³ = (6/5)-³ x (6/5)⁶

Find thevalue of x if x³ = (6/5)^-3 x( 6/5)⁶

Answer 1

$$\begin{gathered} x^3={\left(\frac{6}{5}\right)}^{-3}\times {\left(\frac{6}{5}\right)}^6 \\ \Rightarrow x^3={\left(\frac{6}{5}\right)}^{-3+6}\{\mathrm{Since}{a}^m\times a^n=a^{m+n}\} \\ \Rightarrow x^3={\left(\frac{6}{5}\right)}^3 \\ x=\frac{6}{5}\{\mathrm{Comparing}\mathrm{the}\mathrm{expression}\mathrm{of}\mathrm{both}\mathrm{sides}\} \end{gathered}$$