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How many bytes are in 54 terabytes?

Express the answer in correct scientific notation.
[tex]\[ 54 \, \text{TB} = [?] \times 10^{[?]} \, \text{B} \][/tex]

Enter the coefficient in the green box and the exponent in the yellow box.



Answer :

GinnyAnswer
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].

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