Simplifying Expressions with Exponents

Simplify the following expressions with exponents leaving no negative exponents. Remember the following rules:

• \(x^a \cdot x^b = x^{a+b}\)
  
  
• \(\frac{x^a}{x^b} = x^{a-b}\)
  
  
• \((x^a)^b = x^{a \cdot b}\)
  
  
• \(x^{-a} = \frac{1}{x^a}\)
  
  

Notation: Put the variables in alphabetical order, use the "^" to represent exponents, and use "/" as a fraction bar. For example, \(\frac{a^5c^3}{b^7}\) should be typed as a^5c^3/b^7 and not c^3a^5/b^7.

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