Question

rewrite the following statement using a number in scientific notation. my new music player has a capacity of 380 gigabytes. (recall that giga means billion.) my new music player has a capacity of \boxed{} bytes. (use scientific notation. use the multiplication symbol in the math palette as needed.)

Explanation:

Step1: Convert gigabytes to bytes

Since 1 gigabyte = \(10^9\) bytes, 380 gigabytes = \(380\times10^9\) bytes.

Step2: Rewrite 380 in scientific notation

380 can be written as \(3.8\times10^2\). So, \(380\times10^9 = 3.8\times10^2\times10^9\).

Step3: Use exponent rule \(a^m\times a^n=a^{m + n}\)

\(3.8\times10^2\times10^9=3.8\times10^{2 + 9}=3.8\times10^{11}\) bytes.

Answer:

\(3.8\times10^{11}\)