Question

How do you evaluate `(20 - (4^2 \div (2+14)) +5)/(4^2 -13)`?

Answer 1

8

Explanation:

`((20-(4^2/((2+14))) + 5))/((4^2-13))`

To solve this question, we will have to follow the order of operation rule, which states which operations we go through when solving:

The order is:
1. Grouping (....)
2.Exponents
3.Multiplication/division
4.Addition/subtraction

Back to our equation:
we can start by working in the denominator, and in the middle term of the numerator:
`((20-color(blue)(4^2/((2+14))) + 5))/color(red)((4^2-13))`

In denominator:
`4^2-13=16-13=color(red)(3)`

In numerator:
`4^2/(2+14)=16/16=color(blue)(1)`

Putting values in equation:
`((20-color(blue)(1)+ 5))/color(red)(3)`

Calculating numerator:
`20-1+5=19+5=24`
`rarr 24/3=8`