Question

Evaluate. 12⋅(14+13)2+23 Enter your answer as a mixed number in simplest form by filling in the boxes. $$

Answer 1

Firstly, the sum inside the parentheses is calculated (14 + 13 = 27), then squared to get 729, multiplied by 12 to obtain 8748, and finally 23 is added to arrive at 8771, which is the simplest form of the answer as a mixed number.

Step-by-step explanation:

The student's math problem needs to be solved by following the correct order of operations, which is Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right), also known as PEMDAS.

First, calculate the sum inside the parentheses:

• 14 + 13 = 27

Next, raise this sum to the power of 2:

• 272 = 729

Now, multiply by 12:

• 12 · 729 = 8748

Finally, add 23:

• 8748 + 23 = 8771

To express the answer as a mixed number:

• 8771 can be written as 8771/1
• To convert into a mixed number, divide 8771 by 1 to get 8771

Therefore, the final answer is 8771 which is already in its simplest form.