College

To simplify [tex]-36 \div (2)(3)^2 + 5[/tex], we should:

1. Evaluate the exponent.
2. Multiply within the parentheses.
3. Divide [tex]-36[/tex] by the result of the multiplication.

Answer :

To simplify the expression [tex]\(-36 \div (2) (3)^2 + 5\)[/tex], follow these steps:

1. Evaluate the Exponent:
- Calculate [tex]\(3^2\)[/tex], which is [tex]\(3 \times 3 = 9\)[/tex].

2. Multiply the Parentheses:
- Multiply the value inside the parentheses by 2. This gives us [tex]\(2 \times 9 = 18\)[/tex].

3. Divide -36 by the Result from Step 2:
- Now, divide [tex]\(-36\)[/tex] by the result obtained in the previous step, which is 18. Thus, [tex]\(-36 \div 18 = -2\)[/tex].

4. Add 5:
- Finally, take the result from step 3 and add 5: [tex]\(-2 + 5 = 3\)[/tex].

The simplified result of the expression is 3.