Math Problem Statement

6(8-6)⁰+4-²

Solution

Let's break down the expression step by step:

6(86)0+426(8 - 6)^0 + 4 - 2

Step 1: Simplify the expression inside the parentheses.

86=28 - 6 = 2 So the expression becomes: 6(2)0+426(2)^0 + 4 - 2

Step 2: Apply the exponent.

Any number raised to the power of 0 is 1. 20=12^0 = 1 So the expression now becomes: 6(1)+426(1) + 4 - 2

Step 3: Multiply.

6(1)=66(1) = 6 Now the expression is: 6+426 + 4 - 2

Step 4: Add and subtract.

6+4=106 + 4 = 10 102=810 - 2 = 8

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

Would you like more details or have any questions?

Here are 5 related questions for further practice:

  1. Simplify: 7(53)0+227(5 - 3)^0 + 2^2
  2. Evaluate: 5(41)2+65(4 - 1)^2 + 6
  3. Solve: 3(97)0+853(9 - 7)^0 + 8 - 5
  4. Simplify: 2(108)3+322(10 - 8)^3 + 3^2
  5. Evaluate: 4(76)2+1284(7 - 6)^2 + 12 - 8

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

Ask a new question for Free

By Image

Drop file here or Click Here to upload

Math Problem Analysis

Mathematical Concepts

Algebra
Exponents
Order of Operations

Formulas

Any non-zero number raised to the power of 0 is 1

Theorems

Exponentiation Rule: a^0 = 1 (for a ≠ 0)
Order of Operations (PEMDAS)

Suitable Grade Level

Grades 6-8