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)

1 answer

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:

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