What is the value of 4(6+2)2?

The value is 128.

To solve the expression, we follow the order of operations, which is:

1. Parentheses (we solve inside the parentheses first)
2. Exponents
3. Multiplication and Division (we perform these operations from left to right)
4. Addition and Subtraction (we perform these operations from left to right)

Using this order, we first solve the expression inside the parentheses:

6 + 2 = 8

Then we have:

4(8)2

Next, we perform the exponent operation:

8^2 = 64

Finally, we multiply 4 by 64:

4 x 64 = 256

Therefore, the value of 4(6+2)2 is 256.