To calculate the total cost of delivering 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 per stamp = $0.55
Now, perform the multiplication:
\[ \text{Total cost} = (1.52 \times 10^{10}) \times 0.55 \]
First, calculate \( 1.52 \times 0.55 \):
\[ 1.52 \times 0.55 = 0.836 \]
Now, we need to account for the power of ten:
\[ \text{Total cost} = 0.836 \times 10^{10} \]
To express this in proper scientific notation, we convert \( 0.836 \) to \( 8.36 \) and decrease the exponent by 1:
\[ 0.836 \times 10^{10} = 8.36 \times 10^{9} \]
Thus, the total cost in dollars to deliver all the pieces of first-class mail is:
\[ \boxed{8.36 \times 10^{9}} \]