To find the total cost to deliver all the pieces of mail, we can use the following calculation:
Given:
- Number of pieces of mail = \( 1.52 \times 10^{10} \)
- Cost per stamp = $0.55
Total cost can be calculated by multiplying the number of pieces of mail by the cost per stamp:
\[ \text{Total Cost} = \text{Number of pieces of mail} \times \text{Cost per stamp} \]
Substituting the values:
\[ \text{Total Cost} = (1.52 \times 10^{10}) \times 0.55 \]
Now, we can perform the multiplication:
\[ 1.52 \times 0.55 = 0.836 \]
Next, we multiply by \( 10^{10} \):
\[ \text{Total Cost} = 0.836 \times 10^{10} \]
To express this in proper scientific notation, we convert \( 0.836 \) to \( 8.36 \) by moving the decimal one place to the right, which means we decrease the exponent by 1:
\[ 0.836 \times 10^{10} = 8.36 \times 10^{9} \]
Thus, the total cost in scientific notation is:
\[ \boxed{8.36 \times 10^{9}} \]