Question

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

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

Answer 1

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:
\[
\boxed{-130.3}
\]