To solve the expression $3^4 \times 3^3$, follow these steps:

1. Apply the property of exponents: When multiplying powers with the same base, you add the exponents: $3^4 \times 3^3 = 3^{4+3} = 3^7$

2. Calculate the result: $3^7 = 3 \times 3 \times 3 \times 3 \times 3 \times 3 \times 3 = 2187$

So, $3^4 \times 3^3 = 2187$.

Would you like more details or have any questions? Here are 5 related questions you might find interesting:

1. What is $2^6 \times 2^4$?
2. Simplify $5^2 \times 5^3$.
3. How would you simplify the expression $a^5 \times a^2$ for any base $a$?
4. What is $3^4 \times 3^{-2}$?
5. How does the product rule for exponents apply to $(x^2 \times x^3)^4$?

Tip: Remember, when multiplying powers with the same base, just add the exponents.