To compute the expression \(\frac{(6.02 \times 10^{23}) \times (-1.42 \times 10^{-15})}{6.54 \times 10^{6}}\), we can break it down step-by-step.
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Multiply the numerators: \[ 6.02 \times (-1.42) = -8.5284 \] Next, for the powers of 10: \[ 10^{23} \times 10^{-15} = 10^{23 - 15} = 10^8 \] So, the total for the numerator is: \[ -8.5284 \times 10^8 \]
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Now, divide by the denominator: We have the denominator as \(6.54 \times 10^{6}\). So, the complete expression can now be represented as: \[ \frac{-8.5284 \times 10^8}{6.54 \times 10^6} \]
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Divide the coefficients: \[ \frac{-8.5284}{6.54} \approx -1.303 \]
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Divide the powers of 10: \[ 10^{8 - 6} = 10^2 \]
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Combine the results: \[ -1.303 \times 10^2 = -130.3 \]
Thus, the final result is approximately: \[ \boxed{-130.3} \]