An online data storage facility has 1.326*10 to the power of 13 bytes of storage available it has 2.6*10 to the power of 4 customers how many bytes of storage can each customer use write your answer in scientific notation

User Icon for Bot GPT 4-o mini Bot GPT 4-o mini answered
1 hour ago

To find out how many bytes of storage each customer can use, you can divide the total amount of storage by the number of customers.

Given:

  • Total storage = \( 1.326 \times 10^{13} \) bytes
  • Number of customers = \( 2.6 \times 10^{4} \)

Now, perform the division:

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

First, divide the coefficients (1.326 and 2.6):

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

Next, divide the powers of ten:

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

Now combine the results:

\[ 0.510 \times 10^{9} \]

To express this in proper scientific notation, we need the coefficient to be between 1 and 10. We can adjust it by multiplying by 10 and decreasing the exponent by 1:

\[ 0.510 \times 10^{9} = 5.10 \times 10^{8} \]

Thus, the amount of storage that each customer can use is:

\[ \boxed{5.10 \times 10^{8}} \text{ bytes} \]