# week 5 DQ2 - x^a * x^b = x^(a+b) Example: x^3 * x^9 =...

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Describe two laws of exponents and provide an example illustrating each law, explain how to simplify your expression. 1. Law for powers of powers; if you have a power of a power, then all you need to do to get a simplified answer is to multiply the powers together to solve the rational expression. x^a^b = x^(a*b) Example: x^3^9 = x^(3*9) = x^27 2. Law for multiplication of powers with like bases; if you have two expressions with the same bases that are multiplied by each other, then all you have to do is add the powers together to solve the rational expression, just like the following examples.

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Unformatted text preview: x^a * x^b = x^(a+b) Example: x^3 * x^9 = x^(3+9) = x^12 A good rule to do in understanding the laws of exponents is to write How do the laws work with rational exponents? The laws of exponents work the same with rational exponents as the laws work with solving other rational expressions. A fractional exponent like 1/n means to take the nth root: Provide the class with a third expression to simplify that includes rational (fractional) exponents. Here is an example for the class to solve: x^1/3 * x^23/3 The solution: x^(1/3 + 23/3) = x^(24/3) = x^8...
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## week 5 DQ2 - x^a * x^b = x^(a+b) Example: x^3 * x^9 =...

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