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The given problem is:

\[
6 + 3^4
\]

### Step-by-step solution:

1. First, calculate the exponent \(3^4\):
   \[
   3^4 = 3 \times 3 \times 3 \times 3 = 81
   \]

2. Now, add 6 to the result:
   \[
   6 + 81 = 87
   \]

Thus, the final answer is:

\[
\boxed{87}
\]

Would you like more details or have any questions?

Here are 5 related questions to explore:
1. What is the value of \(4 + 2^5\)?
2. Can you simplify the expression \(7 + 4^3\)?
3. What is the result of \(5^3 - 9\)?
4. How would you calculate \(2 \times 3^4\)?
5. What happens if you add a negative number to the expression \(6 + 3^4\)?

**Tip:** When solving expressions with exponents, always handle the exponent before performing addition or subtraction, as per the order of operations (PEMDAS).

Learn how to solve the arithmetic expression 6 + 3^4 by calculating the exponent and following the order of operations (PEMDAS). This step-by-step solution is suitable for students in Grades 6-8 and helps reinforce concepts related to exponents and arithmetic.

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