Question

1. how many pm are in 6.7 x 10⁻⁴ nm?

Explanation:

Step1: Recall the conversion factor between nm and pm.

We know that \( 1\space nm = 1000\space pm \) or \( 1\space nm = 1\times10^{3}\space pm \).

Step2: Convert the given value from nm to pm.

We have \( 6.7\times10^{-4}\space nm \). To convert to pm, we multiply by the conversion factor \( 1\times10^{3}\space pm/nm \).
So, \( 6.7\times10^{-4}\space nm\times\frac{1\times10^{3}\space pm}{1\space nm} \)
First, multiply the coefficients: \( 6.7\times1 = 6.7 \)
Then, multiply the powers of 10: \( 10^{-4}\times10^{3}=10^{-4 + 3}=10^{-1} \)
So the result is \( 6.7\times10^{-1}\space pm = 0.67\space pm \)

Answer:

\( 0.67\space pm \) (or \( 6.7\times10^{-1}\space pm \))