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

1 Answer
Sep 20, 2016

Answer:

#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#