simplify and compare equivalent expressions written both in radical form and with rational , assignment help

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trbetvnobl91286

Mathematics

Description

In this discussion, you will simplify and compare equivalent expressions written both in radical form and with rational (fractional) exponents. Read the following instructions in order and view the exampleView in a new window (available for download in your online classroom) to complete this discussion. Please complete the following problems according to your assigned number. (Instructors will assign each student their number.)

If your assigned number is

On pages 575 – 577, do the following problem

On pages 584 – 585, do the following problem

11012
2604
31046
4628
510210
66412
77214
87016
97418
106820
117622
126624
1310026
142228
159830
164832
175634
188836
195838
202840
214042
223244
238646
243448
258250
266252
272654
284256
299658
304660
319462
325264
339066
343868
357870
364472
378074
385076
398478
405480
412082
421884
431086
441488
451290
  • Simplify each expression using the rules of exponents and examine the steps you are taking.
  • Incorporate the following five math vocabulary words into your discussion. Use bold font to emphasize the words in your writing. Do not write definitions for the words; use them appropriately in sentences describing the thought behind your math work.
      • Principal root
    • Product rule
    • Quotient rule
    • Reciprocal
    • nth root

Refer to Inserting Math SymbolsView in a new window for guidance with formatting. Be aware with regards to the square root symbol, you will notice that it only shows the front part of a radical and not the top bar. Thus, it is impossible to tell how much of an expression is included in the radical itself unless you use parenthesis. For example, if we have √12 + 9 it is not enough for us to know if the 9 is under the radical with the 12 or not. Therefore, 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 your notation.

Another solution is to type the letters “sqrt” in place of the radical and use parenthesis to indicate how much is included in the radical as described in the second method above. The example above would appear as either “sqrt(12) + 9” or “sqrt(12 + 9)” depending on what we needed it to say.

Your initial post should be at least 250 words in length. Support your claims with examples from required material(s) and/or other scholarly resources, and properly cite any references.

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Explanation & Answer

The solutions are ready. I tried to reach 250 words but it is impossible:) Actually, the examples give less than 120 words.In addition, I see no natural way to use the term "principal root" here.docx and pdf files are identical

40.
1

1

54 ∙ 5−4 .
We have a product in which both factors are powers of the same base 5. Therefore, we
can apply the Product Rule:
1

1

1

1

54 ∙ 5−4 = 54+(−4) = 50 .
The exponents are added. By definition, anything in zeroth degree is one:
50 = 𝟏.

42.
2

27−3
27...


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