To find out how many bytes of storage each customer can use, we need to divide the total storage by the number of customers.
The total storage available is \( 1.326 \times 10^{13} \) bytes, and the number of customers is \( 2.6 \times 10^{4} \).
We perform the division:
\[ \text{Storage per customer} = \frac{1.326 \times 10^{13}}{2.6 \times 10^{4}} \]
When dividing in scientific notation, we can separate the coefficient and the powers of ten:
\[ = \frac{1.326}{2.6} \times \frac{10^{13}}{10^{4}} \]
Calculating the coefficients:
\[ \frac{1.326}{2.6} \approx 0.5107692308 \]
Next, we calculate the powers of ten:
\[ \frac{10^{13}}{10^{4}} = 10^{13 - 4} = 10^{9} \]
Now we combine both parts:
\[ \text{Storage per customer} \approx 0.5107692308 \times 10^{9} \]
To express this in proper scientific notation, we can convert \( 0.5107692308 \) into \( 5.107692308 \) by multiplying by \( 10^{-1} \):
\[ 0.5107692308 \times 10^{9} = 5.107692308 \times 10^{8} \]
Thus, the final answer in scientific notation is:
\[ \text{Storage per customer} \approx 5.107692308 \times 10^{8} \text{ bytes} \]
Rounding this to the appropriate decimal place (if needed, typically two or three decimal places are used), we find:
\[ \text{Storage per customer} \approx 5.11 \times 10^{8} \text{ bytes} \]
So, the answer in scientific notation to the exact decimal place is:
\[ 5.107692308 \times 10^8 \text{ bytes} \text{ or rounded to } 5.11 \times 10^8 \text{ bytes} \]
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