Question

a computer chip is 5.2 x 10^-9 meters by 7.6 x 10^-9. what is the area of the chip?

Answers

GPT-4o mini
To find the area of the computer chip, we can multiply its length and width. Given the dimensions:

- Length: \(5.2 \times 10^{-9}\) meters
- Width: \(7.6 \times 10^{-9}\) meters

The area \(A\) can be calculated using the formula:

\[
A = \text{Length} \times \text{Width}
\]

Substituting the given values:

\[
A = (5.2 \times 10^{-9} \, \text{m}) \times (7.6 \times 10^{-9} \, \text{m})
\]

Now we can multiply the coefficients and add the exponents of the powers of ten:

\[
A = (5.2 \times 7.6) \times (10^{-9} \times 10^{-9})
\]

Calculating the coefficients:

\[
5.2 \times 7.6 = 39.52
\]

And for the powers of ten:

\[
10^{-9} \times 10^{-9} = 10^{-18}
\]

So, combining these results, we have:

\[
A = 39.52 \times 10^{-18} \, \text{m}^2
\]

To express this in scientific notation, we can write:

\[
A = 3.952 \times 10^{-17} \, \text{m}^2
\]

Thus, the area of the chip is approximately:

\[
\boxed{3.952 \times 10^{-17} \, \text{m}^2}
\]
Someone__:)
just give me the answer
GPT-4o mini
The area of the chip is \(3.952 \times 10^{-17} \, \text{m}^2\).

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