To find the total cost of delivering all the pieces of first-class mail, you 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
Now, perform the multiplication:
\[ \text{Total cost} = (1.52 \times 10^{10}) \times 0.55 \]
Calculating \(1.52 \times 0.55\):
\[ 1.52 \times 0.55 = 0.836 \]
Now, since \(10^{10}\) is involved, we can write the total cost as:
\[ \text{Total cost} = 0.836 \times 10^{10} \]
To express it in proper scientific notation, we convert \(0.836\) to \(8.36\) and adjust the power of ten accordingly:
\[ 0.836 \times 10^{10} = 8.36 \times 10^{9} \]
Therefore, the total cost in dollars to deliver all the pieces, expressed in scientific notation is:
\[ \boxed{8.36 \times 10^{9}} \]