Question

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

(7.0 x 10^28) (-3.2 x 10^-20) (-6.4 x 10^35)

Answer 1

To compute the expression \((7.0 \times 10^{28}) \times (-3.2 \times 10^{-20}) \times (-6.4 \times 10^{35})\), we can first handle the coefficients and the powers of 10 separately.

1. **Coefficients**:
- \(7.0 \times -3.2 \times -6.4\)
- \(7.0 \times -3.2 = -22.4\)
- \(-22.4 \times -6.4 = 143.36\)

2. **Powers of 10**:
- \(10^{28} \times 10^{-20} \times 10^{35}\)
- \(10^{28 + (-20) + 35} = 10^{28 - 20 + 35} = 10^{43}\)

Now, combine the results:

\[
143.36 \times 10^{43}
\]

To express this in standard scientific notation, we convert \(143.36\) to \(1.4336 \times 10^2\):

\[
143.36 \times 10^{43} = 1.4336 \times 10^2 \times 10^{43} = 1.4336 \times 10^{45}
\]

Thus, the final result of \((7.0 \times 10^{28}) \times (-3.2 \times 10^{-20}) \times (-6.4 \times 10^{35})\) is:

\[
\boxed{1.4336 \times 10^{45}}
\]