# What is 2\times ( 14\div 2)^{2} + 5\times 12?

Sep 20, 2016

$158$

#### Explanation:

Count the number of terms first.
Each term must simplify to a single answer and these will be added or subtracted in the last step.

Within each term, the order of operations applies:
Inside brackets first
Powers and roots
Multiply and divide.

$\left[2 \setminus \times {\left(\textcolor{b l u e}{14 \setminus \div 2}\right)}^{2}\right] + \left[\textcolor{red}{5 \times 12}\right] \text{ } \leftarrow$ there are 2 terms

Simplify within each term

=$\left[2 \setminus \times \left(\textcolor{b l u e}{{7}^{2}}\right)\right] + \left[\textcolor{red}{60}\right]$

= $\left[2 \setminus \times \textcolor{b l u e}{49}\right] + \left[\textcolor{red}{60}\right]$

= $\textcolor{b l u e}{98} + \textcolor{red}{60}$

=$158$