To compute the expression:
\[ \frac{(6.02 \times 10^{23}) \times (-5.11 \times 10^{-27})}{-8.23 \times 10^{5}} \]
Let's break it down step by step.
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Calculate the numerator:
\[ 6.02 \times 10^{23} \times (-5.11 \times 10^{-27}) = -30.7492 \times 10^{(23 + (-27))} = -30.7492 \times 10^{-4} \]
To express it in a proper scientific notation, we would write:
\[ -30.7492 \times 10^{-4} = -3.07492 \times 10^{-3} \quad (\text{moving the decimal point to the left}) \]
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Now, divide the result by the denominator:
\[ -3.07492 \times 10^{-3} \div (-8.23 \times 10^{5}) \]
First, let's divide the coefficients:
\[ \frac{-3.07492}{-8.23} = 0.3733 \quad (\text{approximately}) \]
Now, handle the powers of ten:
\[ 10^{-3} \div 10^{5} = 10^{-3 - 5} = 10^{-8} \]
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Combine the results:
\[ 0.3733 \times 10^{-8} \]
In scientific notation, it is better expressed as:
\[ 3.733 \times 10^{-9} \]
Thus, the final result is:
\[ \boxed{3.733 \times 10^{-9}} \]
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