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Exponents

For nonzero real numbers $ a,b$ and integers $ x,y$ :

  $\displaystyle a^0=1$   $\displaystyle (ab)^x=a^xb^x$   $\displaystyle a^xa^y=a^{x+y}$      
  $\displaystyle \frac{a^x}{a^y}=a^{x-y}$   $\displaystyle \bigg(\frac{a}{b}\bigg)^x = \frac{a^x}{b^x}$   $\displaystyle a^{-x}=\frac{1}{a^x}$      



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