And my data storage facility has 1.326×10 to 13 power bites of storage it has 2.6×10 to the fourth customers how many bites of storage can each customer use? Write your answer in scientific notation

1 answer

To find out how many bites of storage each customer can use, you can divide the total storage by the number of customers:

\[ \text{Total storage} = 1.326 \times 10^{13} \text{ bites} \]

\[ \text{Number of customers} = 2.6 \times 10^{4} \]

The calculation is as follows:

\[ \text{Storage per customer} = \frac{1.326 \times 10^{13}}{2.6 \times 10^{4}} \]

To simplify this division, first handle the coefficients:

\[ \frac{1.326}{2.6} \approx 0.510 \]

Next, handle the powers of ten:

\[ 10^{13} \div 10^{4} = 10^{(13 - 4)} = 10^{9} \]

Now combine the results:

\[ \text{Storage per customer} \approx 0.510 \times 10^{9} \]

To express this in standard scientific notation, convert \(0.510\) to \(5.10\) by shifting the decimal point one place to the right, which requires reducing the exponent of ten by 1:

\[ 5.10 \times 10^{8} \]

Therefore, each customer can use approximately:

\[ \boxed{5.10 \times 10^{8}} \text{ bites of storage.} \]