Discussion Question 2

# Discussion Question 2 - has the same base a with an...

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Discussion Question 2 Post a response to the following: Review section 10.2 (p. 692) of your text. 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. Answer The first rule of exponents relates to multiplying expressions with the same base, a . The rule states that a m * a n = a m+n . Hence, if we’re multiplying two terms with the same base, the result
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Unformatted text preview: has the same base a with an exponent equal to the sum of the exponents of the multiplicands. An example is: x 4 * x 5 = x 4+5 = x 9 . The second rule is the power rule, which says that (a m ) n = a mn . In words, we keep the base unchanged and multiply the exponents. An example is: (x 3 ) 2 = x 6 . With rational (fractional) exponents, these two rules work exactly the same way. For example, if were performing the multiplication: * = . * . = = 5 5 50 5 50 5 51 5 A third expression to simplify is: 8 (-5/3)...
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