Simplify 14$$\times$$(14 ​$$\times$$​ (3²)) $$\div$$ 17 + 25 - 89​

Correct option is B

Given:

14$$\times$$​(14 ​$$\times$$​​ (3²)) $$\div$$​ 17 + 25 - 89​

Concept Used:​

​$$\begin{array}{|l|l|}\hline\textbf{Operation preference wise} & \textbf{Symbol} \\\hline\text{Brackets} & [\,], \{\,\}, (\,) \\\hline\text{Orders, of} & ^x \, (\text{power}), \, \sqrt{} \, (\text{root}), \, \text{of} \\\hline\text{Division} & \div \\\hline\text{Multiplication} & \times \\\hline\text{Addition} & + \\\hline\text{Subtraction} & - \\\hline\end{array}$$

Solution:

​14$$\times$$​​(14 ​$$\times$$​​​ (3²)) $$\div$$​​ 17 + 25 - 89​

= 14$$\times$$​​(14 ​$$\times$$​ 9) $$\div$$​​ 17 + 25 - 89​

= 14$$\times$$$$\frac{126}{17}$$​ + 25 - 89​

=$$\frac{1764}{17}$$+ 25 - 89​

= $$\frac{1764+425-1513}{17}$$

=$$\frac{676}{17}$$​​