Question

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

(5.4 x 10^4) (2.2 x 10^7)
---------------------------------
4.5 x 10^5

Answer 1

To compute the expression

\[
\frac{(5.4 \times 10^4) \times (2.2 \times 10^7)}{4.5 \times 10^5},
\]

we can handle the multiplication and division of the numbers and the powers of ten separately.

1. **Multiply the coefficients:**
\[
5.4 \times 2.2 = 11.88.
\]

2. **Add the exponents of 10:**
\[
10^4 \times 10^7 = 10^{(4+7)} = 10^{11}.
\]

So the numerator becomes:
\[
11.88 \times 10^{11}.
\]

3. **Now, we divide by the denominator \(4.5 \times 10^5\):**

- The coefficients:
\[
\frac{11.88}{4.5} \approx 2.64.
\]

- Subtract the exponents of 10:
\[
10^{11} \div 10^5 = 10^{(11-5)} = 10^6.
\]

4. **Putting it all together:**
\[
2.64 \times 10^6.
\]

So the final result is
\[
\boxed{2.64 \times 10^6}.
\]