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0
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(0.0167 cm^-1)^-1

Guest Mar 7, 2017

#2
+19653
+5

(0.0167 cm^-1)^-1

$$\begin{array}{|rcll|} \hline && (~0.0167\ \text{cm}^{-1} ~)^{-1} \\ &=& (~0.0167^1\cdot \ \text{cm}^{-1} ~)^{-1} \\ &=& (0.0167^1)^{-1}\cdot \ (\text{cm}^{-1})^{-1} \\ &=& 0.0167^{1\cdot(-1)} \cdot \ \text{cm}^{(-1)\cdot(-1)}\\ &=& 0.0167^{-1} \cdot \ \text{cm}^{1}\\ &=& 0.0167^{-1} \cdot \ \text{cm} \\ &=& \frac{1}{0.0167} \cdot \ \text{cm} \\ &=& 59.8802395210\ \text{cm} \\ \hline \end{array}$$

heureka  Mar 7, 2017
#1
+7348
0

(0.0167 cm^-1)^-1

$$\large(0.0167cm^{-1})^{-1}=(\frac{0.0167}{cm})^{-1}=\frac{cm}{0.0167}$$

!

asinus  Mar 7, 2017
#3
+7348
0

(0.0167 cm^-1)^-1

$$\large o.k.$$

$$\large(0.0167cm^{-1})^{-1}=(\frac{0.0167}{cm})^{-1}=\frac{cm}{0.0167}=59.88\ cm$$

!

asinus  Mar 7, 2017
#2
+19653
+5

(0.0167 cm^-1)^-1

$$\begin{array}{|rcll|} \hline && (~0.0167\ \text{cm}^{-1} ~)^{-1} \\ &=& (~0.0167^1\cdot \ \text{cm}^{-1} ~)^{-1} \\ &=& (0.0167^1)^{-1}\cdot \ (\text{cm}^{-1})^{-1} \\ &=& 0.0167^{1\cdot(-1)} \cdot \ \text{cm}^{(-1)\cdot(-1)}\\ &=& 0.0167^{-1} \cdot \ \text{cm}^{1}\\ &=& 0.0167^{-1} \cdot \ \text{cm} \\ &=& \frac{1}{0.0167} \cdot \ \text{cm} \\ &=& 59.8802395210\ \text{cm} \\ \hline \end{array}$$

heureka  Mar 7, 2017