Question

How do you simplify `8+7(4^2-3)`?

Answer 1

`99`

Explanation:

In an expression which has a variety of operations, count the number of terms first.

Each term must simplify to a single number and these answers are added or subtracted in the LAST step.

In each term do the strongest operations first, - the powers and roots. Then any multiplication and division.

Brackets (parentheses) indicate when a weaker operation has to be done before a stronger one.

In the calculation, red shows what has been done in each step.

`color(magenta)(8)color(blue)(+7(4^2-3)) " has 2 terms"`

=`color(magenta)(8)color(blue)(+7(color(red)(16)-3))`

=`color(magenta)(8)color(blue)(+7(color(red)(13))`

=`color(magenta)(8)color(blue)(+color(red)91)`

=`99`