License plates in a particular state display 2 letters followed by 2 numbers. How many different license plates can be manufactured for this state? There are \( \square \) different license plates that can be manufactured for this state. (Simplify your answer. Type an integer or a fraction.)

To calculate the total number of different license plates that can be manufactured, we start with the letters and numbers. There are 26 letters in the alphabet, and since the format is 2 letters followed by 2 numbers, we have: - For the 2 letters: \( 26 \times 26 = 676 \) combinations. - For the 2 numbers (assuming digits range from 0-9, giving us 10 options): \( 10 \times 10 = 100 \) combinations. Now, to find the total number of license plates, we multiply the combinations of letters by the combinations of numbers: \[ 676 \times 100 = 67,600. \] So, there are \( 67,600 \) different license plates that can be manufactured for this state.