Respuesta :

Hey there!


To solve for this given equation, you have to do is: PEMDAS.


PEMDAS means….

• Parentheses
• Exponents
• Multiplication
• Division
• Addition
• Subtraction


(You have to do it in that EXACT order or it will most likely mess up better understanding of the equation)


Now that we have information out of the way, we can answer the given question… shall we?

EQUATION:

(16 - 8 ) * (10 + 4 ) + 8^2

CAN CONVERT TO:

= (16 - 8)(10 + 4) + 8^2

SOLVING TO EASIER WAYS:

= (8)(14) + 8^2

= 8(14) + 8 * 8

= 8(14) + 64

= 112 + 64

SIMPLIFY IT:
= 176


Therefore, the answer should be: 176


Good luck on your assignment & enjoy your day!


~Amphitrite1040:)

First, let us recall the PEMDAS, as any expression must be solved using the order of operations (PEMDAS). The PEMDAS states the following:

  1. Parentheses
  2. Exponents
  3. Multiplication
  4. Division
  5. Addition
  6. Subtraction

Now, let's simplify the expression using PEMDAS.

Given expression: (16 – 8) x (10 + 4) + 8²

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.

  • ⇒ 8 × 14 + 64

The third letter of PEMDAS "M" defines "Multiplication". This tells us to multiply the terms in the expression, then.

  • ⇒ 8 × 14 + 64
  • ⇒ 112 + 64

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.

  • ⇒ 112 + 64
  • ⇒ 176

Therefore, the simplified expression is 176.

Learn more about PEMDAS: https://brainly.com/question/1015001