To find the total storage capacity of the mobile phone after adding the additional storage, we need to add the two values together.
The original storage is: \[ 1.28 \times 10^{11} \text{ bytes} \]
The additional storage is: \[ 384,000,000,000 \text{ bytes} \]
We can express \( 384,000,000,000 \) in scientific notation: \[ 384,000,000,000 = 3.84 \times 10^{11} \text{ bytes} \]
Now, we can add these two values together: \[ 1.28 \times 10^{11} + 3.84 \times 10^{11} \]
First, we combine the coefficients: \[ 1.28 + 3.84 = 5.12 \]
Thus, the total storage in scientific notation becomes: \[ 5.12 \times 10^{11} \text{ bytes} \]
So, the total storage capacity of the mobile phone after the additional storage is: \[ \boxed{5.12 \times 10^{11}} \text{ bytes} \]