Sure! Let's convert 54 terabytes (TB) to bytes (B) and express the answer in scientific notation.
1 terabyte (TB) is equal to [tex]\(10^{12}\)[/tex] bytes (B).
To find out how many bytes are in 54 terabytes, you multiply the number of terabytes by the number of bytes per terabyte:
[tex]\[
54 \, \text{TB} \times 10^{12} \, \text{B/TB} = 54 \times 10^{12} \, \text{B}
\][/tex]
Now, let's convert this product into scientific notation. Scientific notation expresses numbers as a coefficient (a value between 1 and 10) multiplied by 10 raised to an exponent.
[tex]\[
54 \times 10^{12} \, \text{B} = 5.4 \times 10 \times 10^{12} \, \text{B} = 5.4 \times 10^{13} \, \text{B}
\][/tex]
So, the number of bytes in 54 terabytes is expressed in scientific notation as:
[tex]\[
\boxed{5.4} \times 10^{\boxed{13}}\, \text{B}
\][/tex]
The coefficient is [tex]\(5.4\)[/tex] and the exponent is [tex]\(13\)[/tex].
