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Describe two laws of exponents and provide an example illustrating each law. Explain how to simplify your expression. How do the laws work with rational exponents? Provide the class with a third expression to simplify that includes rational (fractional) exponents.

algebra 
MathMate,
Laws of exponents:
x^{a}*x^{b} = x^{a+b}
x^{a}/x^{b} = x^{ab}
(x^{a})^{b} = x^{ab}
x^{a} = 1/x^{a}
x^{1/a} = ath root of x
Some or all of these laws must have been discussed in class. Feel free to create the example and post here for discussions if you wish.