To find the total cost to deliver all pieces of first-class mail, we can multiply the number of pieces of mail by the cost of each stamp.
Given:
- Number of pieces of mail: \(1.52 \times 10^{10}\)
- Cost of each stamp: $0.55
We can calculate the total cost as follows:
\[ \text{Total Cost} = \text{Number of pieces of mail} \times \text{Cost of each stamp} \]
\[ \text{Total Cost} = (1.52 \times 10^{10}) \times 0.55 \]
Now, let's perform the multiplication:
\[ 1.52 \times 0.55 = 0.836 \]
Next, we multiply this result by \(10^{10}\):
\[ \text{Total Cost} = 0.836 \times 10^{10} \]
To express it in proper scientific notation, we can convert \(0.836\) to \(8.36\) and adjust the exponent on \(10\):
\[ 0.836 \times 10^{10} = 8.36 \times 10^{9} \]
Thus, the total cost to deliver all the pieces in scientific notation is:
\[ \boxed{8.36 \times 10^{9}} \]