Laws of exponents and examples of two laws of exponents

Assignment Help Basic Statistics
Reference no: EM13119979

Laws of Exponents

The same laws hold for rational-number exponents as for integer exponents.

We list them for review.
For any real number a and any rational exponents m and n:

1. In multiplying, we can add exponents if the bases are the same.

2. In dividing, we can subtract exponents if the bases are the same.

3. To raise a power to a power, we can multiply the exponents.

4. To raise a product to a power, we can raise each factor to the power.

5. To raise a quotient to a power, we can raise both the numerator and the denominator to the power.

Provide an example of two of the laws of exponents. Explain how to simplify them. Tell how do the laws work with rational exponents and then provide a third example to simplify that includes a rational (fractional) exponent.

Reference no: EM13119979

Questions Cloud

What is the new boiling point point of water : What is the new boiling point point of water if you add 188 grams of magnesium chloride to 1250 g of water.
What is the maximum amount of these expenditures : What Is the maximum amount of these expenditures that Egret can deduct in 2011?
Who is also the owner of a real estate development firm : Tammy Potter, a new partner with the regional CPA firm of Tower & Tower, was recently appointed to the board of directors of a local civic organization. The chairman of the board of the civic organization is Lewis Edmond, who is also the owner of ..
What is the percent of aluminum in the alloy sample : A 5.34 g sample of an aluminum alloy is reacted with hydrochloric acid to produce aluminum chloride and hydrogen gas. At a temperature of 298 Kelvin and a pressure of 1.03 atm, a volume of 1.53 L of hydrogen gas is collected.
Laws of exponents and examples of two laws of exponents : Provide an example of two of the laws of exponents. Explain how to simplify them. Tell how do the laws work with rational exponents and then provide a third example to simplify that includes a rational (fractional) exponent.
When should beth recognize income under the accrual method : When should Beth recognize income under the accrual method of accounting.
Calculate the minimum ticket price : The Ocean City water park is considering the purchase of a new log flume ride. The cost to purchase the equipment is 1,800,000, and it will cost an additional 180,000 to have it installed.
What is the molality of magnesium nitrate : An aqueous solution is made by dissolving 25.8 grams of magnesium nitrate in 395 grams of water. What is the molality of magnesium nitrate.
What is the total pressure exerted by the gas mixture : In a gas mixture, the partial pressures are argon 425 , neon 60 , and nitrogen 125 .What is the total pressure exerted by the gas mixture?

Reviews

Write a Review

Basic Statistics Questions & Answers

  Frequency of committing error with different alpha level

In 1,000 samples, assuming that  H 0 is true, how many times would you expect to commit Type I error if:

  Explain what psychologist can be concluded from output

Write a short paragraph explaining to the psychologist what can be concluded from this output (assuming the technical conditions are met).

  To find the probability using the bayes'' theorem

A test on zoology is to be given next week. Suppose 75 percent of the students study for the test and 25 percent do not. If a student studies for the exam, the probability that he or she will pass is 0.90. If the student does not study, the pro..

  To find out a 90% confidence interval for proportion

Eighty-eight shoppers were interviewed at random, and 59 said that they prefer to shop alone.

  Probability of random samples

According to the U.S. Census Bureau, the mean household income in the United States in 2000 was $57,045 and the median household income was $42,148.

  Explain significantly different from the general population

Does this sample provide enough evidence to conclude that self-esteem scores for these adolescents are significantly different from those of the general population? Use a two-tailed test with x =.01.

  Sample f-test for the ratio of population variances

Do these data provide sufficient evidence to reject the claim made by Creative Good? Two sample F-test for the ratio of population variances

  Compute control limits for x- and r-charts

Twenty-five samples of size 4 resulted in statistics of x=30.0 minutes and R = 2.5 minutes for the company to completely clean a rug. Compute control limits for x- and R-charts and estimate the standard deviation of the process.

  Eff ective in detecting a disease

A lab test is 95% eff ective in detecting a disease. The test gives a false positive (reports the patient has disease when they do not) for 1 % of the healthy population tested.

  Find probability that patient is diagnosed as hypokalemic

Judy's measured potassium level varies according to the Normal distribution with mean = 3.8. If a single potassium measurement is made, what is the probability that Judy is diagnosed as hypokalemic?

  Differentially preferred by people in general

Do these scores suggest that the different foods are differentially preferred by people in general? (Use the .05 significance level.)

  How many students took the exam

Basic Statistics problem

Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd