use the exponent function on your calculator (ee or exp) to compute the following.

6.02 x 10^23) (-1.42 x 10^-15)
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6.54 x 10^6

1 answer

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.

  1. 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: \[ -8.5284 \times 10^8 \]

  2. Now, divide by the denominator: We have the denominator as \(6.54 \times 10^{6}\). So, the complete expression can now be represented as: \[ \frac{-8.5284 \times 10^8}{6.54 \times 10^6} \]

  3. Divide the coefficients: \[ \frac{-8.5284}{6.54} \approx -1.303 \]

  4. Divide the powers of 10: \[ 10^{8 - 6} = 10^2 \]

  5. Combine the results: \[ -1.303 \times 10^2 = -130.3 \]

Thus, the final result is approximately: \[ \boxed{-130.3} \]