To solve the problem, we analyze the pattern of square divisions:

Step 1: Understand the division process

• Initial state (0 divisions): 1 square.
• 1st division: The square is split into 4 smaller squares → count = 4.
• 2nd division: Each of the 4 squares is split into 4 → count = 4×4 = 16.
• 3rd division: Each of the 16 squares is split into 4 → count = 16×4 = 64.

This pattern shows that after (n) divisions, the number of squares is (4^n).

Step 2: Calculate for 6 divisions

After 6 divisions:
(4^6 = 4×4×4×4×4×4 = 4096).

Answer: 4096.

(\boxed{4096})

作者声明:本文包含人工智能生成内容。