An expression is shown below:

12x12x12x12 + 7(3x3x3x3+3)

Let's simplify the expression step by step:

The given expression is:

\[
12 \times 12 \times 12 \times 12 + 7(3 \times 3 \times 3 \times 3 + 3)
\]

### Step 1: Simplify the powers
We can start by calculating the products inside both terms.

1. \(12 \times 12 \times 12 \times 12 = 12^4 = 20736\)
2. \(3 \times 3 \times 3 \times 3 = 3^4 = 81\)

Now, the expression becomes:

\[
20736 + 7(81 + 3)
\]

### Step 2: Simplify inside the parentheses
\[
81 + 3 = 84
\]

Now the expression becomes:

\[
20736 + 7 \times 84
\]

### Step 3: Multiply the second term
\[
7 \times 84 = 588
\]

### Step 4: Add the two terms
\[
20736 + 588 = 21324
\]

So, the simplified value of the expression is:

\[
\boxed{21324}
\]

Would you like more details on any of the steps? 

Here are some related questions you might find helpful:

1. What are the properties of exponents and how do they simplify expressions like \(12^4\)?
2. How does the distributive property apply when simplifying expressions with parentheses?
3. How do we handle operations with large powers without a calculator?
4. What are the rules for multiplying and adding terms in expressions?
5. How do you recognize patterns in powers and products for faster calculation?

**Tip:** When dealing with powers, it’s helpful to memorize small power results (like \(3^4\)) to save time on complex problems.

An expression is shown below:
12x12x12x12 + 7(3x3x3x3+3)

Simplify the expression 12x12x12x12 + 7(3x3x3x3+3) step by step. Learn about exponentiation and the distributive property while solving this problem, which is suitable for students in Grades 6-8.

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