First, let us recall the PEMDAS, as any expression must be solved using the <em>order of operations (PEMDAS).</em><em> </em>The PEMDAS states the following:
- Parentheses
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Now, let's simplify the expression using PEMDAS.
Given expression:<em> (16 – 8) x (10 + 4) + 8²</em>
The first letter of PEMDAS "P" defines "Parentheses". This tells us to simplify the expression inside the parentheses, first.
- ⇒ (16 – 8) × (10 + 4) + 8²
- ⇒ (8) × (14) + 8²
The next letter of PEMDAS "E" defines "Exponents". This tells us to simplify the exponents in the expression, next.
- ⇒ (8) × (14) + 8²
- ⇒ (8) × (14) + 64
Let us open the parentheses.
The third letter of PEMDAS "M" defines "Multiplication". This tells us to multiply the terms in the expression, then.
Since we don't see any division ("D" in PEMDAS) occurring in the expression, we can skip to the "A" in PEMDAS, which stands for addition. The letter "A" in PEMDAS tells us to add the terms in the expression if necessary.
Therefore, the simplified expression is 176.
Learn more about PEMDAS: brainly.com/question/1015001