Question

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

(3.1 x 10^14) (4.4 x 10^-12)
--------------------------------------
-6.6 x 10^-14

Answer 1

To solve the expression

\[
\frac{(3.1 \times 10^{14}) \times (4.4 \times 10^{-12})}{-6.6 \times 10^{-14}},
\]

let's break this down step by step.

1. **Multiply the numerators:**
\[
(3.1 \times 4.4) \times (10^{14} \times 10^{-12}) = 13.64 \times 10^{(14 - 12)} = 13.64 \times 10^{2}.
\]

2. **Now, divide by the denominator:**
\[
\frac{13.64 \times 10^{2}}{-6.6 \times 10^{-14}}.
\]

3. **Divide the coefficients:**
\[
\frac{13.64}{-6.6} \approx -2.065.
\]

4. **Combine the powers of ten:**
\[
10^{2} \div 10^{-14} = 10^{(2 + 14)} = 10^{16}.
\]

5. **Combine everything:**
\[
-2.065 \times 10^{16}.
\]

Thus, the final result is approximately:

\[
\boxed{-2.065 \times 10^{16}}.
\]