To find the total cost of delivering all pieces of first-class mail, we can multiply the total number of pieces of mail by the cost of each stamp.
Given:
- Number of pieces of first-class mail = \( 1.52 \times 10^{10} \)
- Cost of each stamp = $0.55
Now, let's calculate the total cost:
\[ \text{Total Cost} = (1.52 \times 10^{10}) \times 0.55 \]
Calculating the multiplication:
\[ 1.52 \times 0.55 = 0.836 \]
Now, we factor in the \( 10^{10} \):
\[ \text{Total Cost} = 0.836 \times 10^{10} \]
To express this in proper scientific notation, we need to adjust \( 0.836 \) to \( 8.36 \) by moving the decimal point one place to the right, which increases the exponent by 1. Thus:
\[ 0.836 \times 10^{10} = 8.36 \times 10^{9} \]
Therefore, the total cost in dollars to deliver all the pieces of mail, expressed in scientific notation, is:
\[ \boxed{8.36 \times 10^{9}} \]
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