Question

What is `(29 - 5) -: 6 - 3^2`?

Answer 1

`(29-5)div6-3^2=color(green)(-5)`

Explanation:

`(29-5)div 6-3^2`
by PEDMAS
Parenthesis first
`color(white)("XXX")=24div6-3^2`
Exponentiation next
`color(white)("XXX")=24div6-9`
Multiplication and Division next
`color(white)("XXX")=4-9`
Addition and Subtraction last
`color(white)("XXX")=-5`

Answer 2

`-5`

Explanation:

There are 3 terms. Each term needs to be simplified to one number. The final answers will be added or subtracted in the last step.

You can work in each term in each line, doing the strongest operations first.

First: Powers and roots
Then: multiply and divide
Last add and subtract.

If this order is to be changed, parentheses are used. They are done before anything else.

`color(red)((29-5))div6-color(blue)(3^2)`

=`color(red)((24))div6-color(blue)(9)`

=`color(green)((24div6)-color(blue)(9)`

= `color(green)(4)-color(blue)(9)`

=`-5`