Question

3) simplify and express the result as a rational number.
iv) ( 9² - 4³) x ( -3/17 )²

Answer 1

$$\begin{gathered} \left(9^2-4^3\right)\times {\left(-\frac{3}{17}\right)}^2 \\ =\left(81-64\right)\times {\left(\frac{3}{17}\right)}^2 \\ =17\times \frac{3^2}{{17}^2} \\ =\frac{3^2}{{17}^{2-1}} \\ =\frac{9}{17} \end{gathered}$$