(6 + 4)2 - 8 X 6 ÷ 3 + 8

2 min read Jun 16, 2024

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.