Question

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

Answer 1

`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.

`[2\times ( color(blue)(14\div 2))^{2}] + [color(red)(5xx 12)]" "larr` there are 2 terms

Simplify within each term

=`[2\times ( color(blue)(7^2))] + [color(red)(60)]`

= `[2\times color(blue)49] + [color(red)(60)]`

= `color(blue)98 + color(red)(60)`

=`158`