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