## Solving the Equation: (6 + 4)2 - 8 x 6 ÷ 3 + 8

This equation might look daunting at first glance, but it's actually quite simple to solve once we understand the order of operations. Let's break it down step-by-step using the **PEMDAS** (Parentheses, Exponents, Multiplication and Division, Addition and Subtraction) rule.

### 1. Parentheses:

- First, we need to solve the expression inside the parentheses: (6 + 4) = 10

Now our equation becomes: **10² - 8 x 6 ÷ 3 + 8**

### 2. Exponents:

- Next, we calculate the exponent: 10² = 100

Our equation is now: **100 - 8 x 6 ÷ 3 + 8**

### 3. Multiplication and Division:

- We perform multiplication and division from left to right.
- 8 x 6 = 48
- 48 ÷ 3 = 16

The equation now reads: **100 - 16 + 8**

### 4. Addition and Subtraction:

- Finally, we perform addition and subtraction from left to right.
- 100 - 16 = 84
- 84 + 8 = 92

### The Answer:

Therefore, the solution to the equation (6 + 4)2 - 8 x 6 ÷ 3 + 8 is **92**.