Question

How do you evaluate `5^2*(-3)-4*6+7`?

Answer 1

`- 92`

Explanation:

We have: `5^(2) cdot (- 3) - 4 cdot 6 + 7`

Let's use the rules of operator precedence, "PEMDAS":

`= 25 cdot (- 3) - 4 cdot 6 + 7`

`= - 75 - 4 cdot 6 + 7`

`= - 75 - 24 + 7`

`= - 99 + 7`

`= - 92`

Answer 2

`-92`

Explanation:

In any expression with different operations, it is important to COUNT terms first. Each term will simplify to a single answer.

Within each term the order of operations is applied:
Brackets
Powers and roots
multiply and divide

You can work in different terms in the same line.

Once there is a single answer to each term, these are added or subtracted in the last step, working from left to right.

`color(red)(5^2)xx(-3) color(blue)(-4xx6)color(lime)(+7)" "larr` there are 3 terms

=`color(red)(25xx(-3) color(blue)(-24)color(lime)(+7)`

=`color(red)(-75) color(blue)(-24)color(lime)(+7)`

It is often easier to re-arrange the terms with the plus terms at the beginning and the minus terms at the end.

=`color(lime)(+7)color(red)(-75) color(blue)(-24)`

=`-92`