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Exploring Exponent Rules And Radical Expressions: Simplification And Comparison

Download this Homework Solution on exponents and radicals.

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Exploring Exponent Rules and Radical Expressions: Simplification andComparisonIn this discussion, you will simplify and compare equivalent expressions written both in radicalform and with rational (fractional) exponents. Read the following instructions in order and viewtheexampleto complete this discussion:•Find the rational exponent problems assigned to you in the table below.If the last letter of your first nameisOn pages 576–577, do the followingproblemsM or Z38 and 72•Simplify each expression using the rules of exponents and examine the steps you aretaking.•Incorporate the following five math vocabulary words into your discussion. Useboldfont to emphasize the words in your writing (Do not write definitions for the words;use them appropriately in sentences describing the thought behind your mathwork.):oPrincipal rootoProduct ruleoQuotient ruleoReciprocalonth rootRefer toInserting Math Symbolsfor guidance with formatting. Be aware that with regards to thesquare root symbol, you will notice that it only shows the front part of a radical and not the topbar. Thus, it is impossible to tell how much of an expression is included in the radical itselfunless you use parenthesis. For example, if we have √12 + 9 it is not enough for us to know if the9 is under the radical with the 12 or not. Thus we must specify whether we mean it to say √(12) +9 or √(12 + 9). As there is a big difference between the two, this distinction is important in yournotation.Another solution is to type the letters “sqrt” in place of the radical and use parenthesis to indicatehow much is included in the radical as described in the second method above. The exampleabove would appear as either “sqrt(12) + 9” or “sqrt(12 + 9)” depending on what we needed it tosay.

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