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:
\[
\boxed{3.952 \times 10^{-17} \, \text{m}^2}
\]
- 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 \(3.952 \times 10^{-17} \, \text{m}^2\).