Question

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

1.0 x 10^-14
-----------------
4.2 x 10^8

Answer 1

To calculate the expression \( \frac{1.0 \times 10^{-14}}{4.2 \times 10^{8}} \) using the exponent function, you can follow these steps:

1. Convert both numbers into their decimal forms:
- \( 1.0 \times 10^{-14} = 0.00000000000001 \)
- \( 4.2 \times 10^{8} = 420000000 \)

2. Now, plug these values into the division:
\[
\frac{0.00000000000001}{420000000}
\]

3. Perform the division:
- This can be simplified as moving the decimal place to make it easier:
\[
\frac{1.0}{4.2} \times \frac{10^{-14}}{10^{8}} = \frac{1.0}{4.2} \times 10^{-14 - 8} = \frac{1.0}{4.2} \times 10^{-22}
\]

4. Calculate \( \frac{1.0}{4.2} \):
\[
\frac{1.0}{4.2} \approx 0.2381 \quad (approximately)
\]

5. Now, combine the results:
\[
0.2381 \times 10^{-22} = 2.381 \times 10^{-23}
\]

Thus, the result of the calculation is approximately:
\[
2.381 \times 10^{-23}
\]