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).