The expression "2^(3*4)" represents an exponentiation operation where the base is 2 and the exponent is the product of 3 and 4. First, we calculate the exponent: 3 multiplied by 4 equals 12. Therefore, the expression simplifies to 2^12. Next, we evaluate 2^12, which means multiplying 2 by itself 12 times. This results in 4,096. Thus, the value of 2^(3*4) is 4,096, demonstrating how exponentiation can lead to large numbers quickly.