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Question
what is the wavelength of the radiation in picometers, pm?
$lambda = 8.57 \times 10^{-13}$ m
$? \times 10^{?}$ pm
Step1: Recall unit conversion factor
$1\ \text{m} = 10^{12}\ \text{pm}$
Step2: Convert meters to picometers
$\lambda = 8.57 \times 10^{-13}\ \text{m} \times 10^{12}\ \frac{\text{pm}}{\text{m}}$
Step3: Simplify the expression
$\lambda = 8.57 \times 10^{-13+12}\ \text{pm} = 8.57 \times 10^{-1}\ \text{pm}$
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$8.57 \times 10^{-1}\ \text{pm}$ (so the first box is 8.57, the second box is -1)