To find the total cost of delivering all the pieces of first-class mail, we need to multiply the number of pieces of mail by the cost of each stamp.
Given:
- The number of pieces of mail = \( 1.52 \times 10^{10} \)
- Cost of each stamp = \( 0.55 \) dollars
Now, we can calculate the total cost:
\[ \text{Total cost} = (\text{Number of pieces of mail}) \times (\text{Cost per stamp}) \]
\[ \text{Total cost} = (1.52 \times 10^{10}) \times (0.55) \]
Now perform the multiplication:
\[ 1.52 \times 0.55 = 0.836 \]
Next, we incorporate the scientific notation:
\[ \text{Total cost} = 0.836 \times 10^{10} \]
To express this in proper scientific notation, we need to move the decimal point one place to the right, which will increase 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 mail, expressed in scientific notation, is:
\[ \boxed{8.36 \times 10^{9}} \]