Question

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

Answer 1

Use the PEMDAS method.

Explanation:

The PEMDAS method is a method of simplifying an expression with multiple operations. PEMDAS stands for:

Parentheses
Exponents
Multiplication
Division
Addition
Subtraction

Let's go through our expression and solve it using this method.

Parentheses

We have `(3^2-2)`:

`3^2=3*3=9-2=7`

Our expression now reads `7+8(7)`.

There are no exponents.

Multiplication

We have `8(7)`.

`8*7=56`

Our equation now reads `7+56`.

There is no division.

Addition

We have `7+56`.

`7+56=63`

`63` is our answer.

Answer 2

=`63`

Explanation:

First count the number of terms....
Follow the order of operations, doing strongest operations first.

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

=`color(magenta)(7)color(blue)( + 8(color(red)(9)-2))`

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

=`color(magenta)(7)color(blue)( +color(red)(56)`

=`63`