Let's break down the expression step by step:

\[
6(8 - 6)^0 + 4 - 2
\]

### Step 1: Simplify the expression inside the parentheses.
\[
8 - 6 = 2
\]
So the expression becomes:
\[
6(2)^0 + 4 - 2
\]

### Step 2: Apply the exponent.
Any number raised to the power of 0 is 1.
\[
2^0 = 1
\]
So the expression now becomes:
\[
6(1) + 4 - 2
\]

### Step 3: Multiply.
\[
6(1) = 6
\]
Now the expression is:
\[
6 + 4 - 2
\]

### Step 4: Add and subtract.
\[
6 + 4 = 10
\]
\[
10 - 2 = 8
\]

So, the value of the expression is:
\[
\boxed{8}
\]

Would you like more details or have any questions?

Here are 5 related questions for further practice:
1. Simplify: \( 7(5 - 3)^0 + 2^2 \)
2. Evaluate: \( 5(4 - 1)^2 + 6 \)
3. Solve: \( 3(9 - 7)^0 + 8 - 5 \)
4. Simplify: \( 2(10 - 8)^3 + 3^2 \)
5. Evaluate: \( 4(7 - 6)^2 + 12 - 8 \)

**Tip:** Any non-zero number raised to the power of 0 is always 1.

Learn how to evaluate the expression 6(8-6)^0 + 4 - 2 with a step-by-step breakdown using exponents and the order of operations (PEMDAS). This problem covers algebraic concepts and exponentiation rules, suitable for students in Grades 6-8.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation