Radicals and Rational Exponents
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While the radical symbol is widely used, converting to rational exponents has advantages. Explain an advantage of rational exponents over the radical sign. Include in your answer an example of an equation easier to solve as a rational exponent rather then a radical sign.
ADDITIONAL INSTRUCTOR COMMENTS/REQUIREMENTS
For unit 3 discussion board (A):
1) Type a problem that is originally given with radical symbols*, show how you convert it instead to rational exponents. Then solve the problem showing all work. Do NOT use a problem from the individual project. (please cite where you obtained the problem)!!
2) Explain why you think it is easier to solve your given problem with rational exponents over radical symbols.
*Please use proper notation by using Equation Editor if possible (directions given to you as a website link). If you cannot you should type for example as (cube root(8^2)) and you should type as 10^(2/3) so I can read your post properly. If your notation is incorrect and I cannot figure out what you are typing, you will lose points. If you use MS Equation Editor, you will need to upload your file because the symbols will not paste. I highly recommend the equation editor, it makes the reading and grading of the assignment much easier!
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Solution Summary
Radicals and Rational Exponents are investigated. The solution is detailed and well presented. The response received a rating of "5/5" from the student who originally posted the question.
Education
- BSc , Wuhan Univ. China
- MA, Shandong Univ.
Recent Feedback
- "Your solution, looks excellent. I recognize things from previous chapters. I have seen the standard deviation formula you used to get 5.154. I do understand the Central Limit Theorem needs the sample size (n) to be greater than 30, we have 100. I do understand the sample mean(s) of the population will follow a normal distribution, and that CLT states the sample mean of population is the population (mean), we have 143.74. But when and WHY do we use the standard deviation formula where you got 5.154. WHEN & Why use standard deviation of the sample mean. I don't understand, why don't we simply use the "100" I understand that standard deviation is the square root of variance. I do understand that the variance is the square of the differences of each sample data value minus the mean. But somehow, why not use 100, why use standard deviation of sample mean? Please help explain."
- "excellent work"
- "Thank you so much for all of your help!!! I will be posting another assignment. Please let me know (once posted), if the credits I'm offering is enough or you ! Thanks again!"
- "Thank you"
- "Thank you very much for your valuable time and assistance!"
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