Question

what is the wavelength of the radiation in picometers, pm?
$\lambda = 8.57 \times 10^{-13}$ m
$? \times 10^{?}$ pm

Explanation:

Step1: Recall unit conversion factor

$1\ \text{m} = 10^{12}\ \text{pm}$

Step2: Substitute conversion factor

$\lambda = 8.57 \times 10^{-13}\ \text{m} \times 10^{12}\ \text{pm/m}$

Step3: Simplify the exponent

$\lambda = 8.57 \times 10^{-13+12}\ \text{pm} = 8.57 \times 10^{-1}\ \text{pm}$

Answer:

$8.57 \times 10^{-1}\ \text{pm}$ (The first blank is 8.57, the second blank is -1)