High School

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

1. Evaluate the exponent.
2. Multiply the terms in the parentheses.
3. Divide -36 by the result of the multiplication.
4. Add 5 to the result.

Answer :

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

1. Evaluate the exponent: First, deal with the exponent part of the expression. In this case, [tex]\(3^2\)[/tex], which equals 9.

2. Multiply the parenthesis: Next, multiply the 2 by the result of the exponent from step 1. That means compute [tex]\(2 \times 9 = 18\)[/tex].

3. Divide -36 by the result from step 2: Now, divide -36 by 18. So, [tex]\(-36 \div 18 = -2\)[/tex].

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

Thus, the simplified result of the expression [tex]\(-36 \div (2)(3)^2 + 5\)[/tex] is 3.