text: # How do you simplify (x / 10)^-1?
  
  Apr 9, 2016
  
  $\frac{10}{x}$
  
  #### Explanation:
  
  Something to the power of $- 1$ is just $1$ divided by that something, so
  
  ${\left(\frac{x}{10}\right)}^{-} 1 = \frac{1}{\frac{x}{10}}$
  
  Dividing by one fraction is the same as multiplying by its reciprocal, so
  
  $\frac{1}{\frac{x}{10}} = 1 \cdot \frac{10}{x} = \frac{10}{x}$
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