To calculate the expression \( \frac{1.0 \times 10^{-14}}{4.2 \times 10^{8}} \) using the exponent function, you can follow these steps:
-
Convert both numbers into their decimal forms:
- \( 1.0 \times 10^{-14} = 0.00000000000001 \)
- \( 4.2 \times 10^{8} = 420000000 \)
-
Now, plug these values into the division: \[ \frac{0.00000000000001}{420000000} \]
-
Perform the division:
- This can be simplified as moving the decimal place to make it easier: \[ \frac{1.0}{4.2} \times \frac{10^{-14}}{10^{8}} = \frac{1.0}{4.2} \times 10^{-14 - 8} = \frac{1.0}{4.2} \times 10^{-22} \]
-
Calculate \( \frac{1.0}{4.2} \): \[ \frac{1.0}{4.2} \approx 0.2381 \quad (approximately) \]
-
Now, combine the results: \[ 0.2381 \times 10^{-22} = 2.381 \times 10^{-23} \]
Thus, the result of the calculation is approximately: \[ 2.381 \times 10^{-23} \]