To find the total cost of delivering all the pieces of first-class mail, we can use the formula:
\[ \text{Total Cost} = \text{Number of Pieces} \times \text{Cost per Piece} \]
Given:
- Number of pieces of mail = \( 1.52 \times 10^{10} \)
- Cost per piece = \( 0.55 \) dollars
Now, we can calculate the total cost:
\[ \text{Total Cost} = 1.52 \times 10^{10} \times 0.55 \]
Now, we will perform the multiplication:
\[ 1.52 \times 0.55 = 0.836 \]
Next, we'll multiply this result by \( 10^{10} \):
\[ \text{Total Cost} = 0.836 \times 10^{10} \]
To express this in scientific notation, we need to adjust the coefficient to be between 1 and 10. This means we can rewrite \( 0.836 \) as \( 8.36 \times 10^{-1} \):
\[ 0.836 \times 10^{10} = 8.36 \times 10^{-1} \times 10^{10} = 8.36 \times 10^{9} \]
So, the total cost in scientific notation is:
\[ \boxed{8.36 \times 10^{9}} \]