To find the total cost of delivering all the pieces of 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 per stamp = \( 0.55 \)
The total cost \( C \) can be calculated as follows:
\[ C = (1.52 \times 10^{10}) \times 0.55 \]
Now we can carry out the multiplication:
\[ C = 1.52 \times 0.55 \times 10^{10} \]
Calculating \( 1.52 \times 0.55 \):
\[ 1.52 \times 0.55 = 0.836 \]
Now, we combine this with \( 10^{10} \):
\[ C = 0.836 \times 10^{10} \]
To express \( 0.836 \) in scientific notation, we can rewrite it as:
\[ 0.836 = 8.36 \times 10^{-1} \]
Thus,
\[ C = (8.36 \times 10^{-1}) \times 10^{10} = 8.36 \times 10^{9} \]
Therefore, the total cost in scientific notation is:
\[ \boxed{8.36 \times 10^{9}} \]