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: You must follow these rules for inputs.

• Put the variables in alphabetical order
• Use the "^" to represent exponents
• 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.