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 calculation is as follows:
\[ \text{Total cost} = \text{Number of pieces of mail} \times \text{Cost per stamp} \]
\[ \text{Total cost} = (1.52 \times 10^{10}) \times 0.55 \]
Now, multiply \(1.52\) by \(0.55\):
\[ 1.52 \times 0.55 = 0.836 \]
Next, since \(10^{10}\) remains the same, we have:
\[ \text{Total cost} = 0.836 \times 10^{10} \]
To express this in proper scientific notation, we need to adjust the coefficient. We can rewrite \(0.836\) as \(8.36 \times 10^{-1}\):
\[ 0.836 \times 10^{10} = 8.36 \times 10^{-1} \times 10^{10} \]
Adding the exponents gives us:
\[ 8.36 \times 10^{9} \]
Thus, the total cost to deliver all the pieces of mail, expressed in scientific notation, is:
\[ \boxed{8.36 \times 10^9} \]