Simplify the Expression: 2³ × 3⁸ × 3⁹ × 2⁶

To solve this problem, we'll follow these steps:

• Step 1: Identify terms with the same base.
• Step 2: Apply exponent rules to combine terms with the same base.
• Step 3: Rewrite the expression in its simplified form.

Now, let's work through each step:
Step 1: Identify terms with the same base:
The original expression $2^3 \times 3^8 \times 3^9 \times 2^6$ contains two bases: 2 and 3.

Step 2: Apply exponent rules:
For base 2: $2^3 \times 2^6 = 2^{3+6} = 2^9$.
For base 3: $3^8 \times 3^9 = 3^{8+9} = 3^{17}$.

Step 3: Rewrite the expression in simplified form:
The expression simplifies to $2^9 \times 3^{17}$.

Therefore, the solution to the problem is $2^9 \times 3^{17}$. Thus, choice 4 is correct.