What is the definitions for exponents?

What is the definitions for exponents?
by

1 Answer

Answer :

In the number x, with positive integer exponent a, a is the number of times that 1 (not the number itself) is multiplied by x. So, for example in the expression, 43 the exponent is 3 and the number represented is "1 is multiplied by 4 three times". If you multiply 4 by itself 3 times, you will get 4*4 (one time) * 4 (two times) *4 (three times) and that is NOT 43: it is just a wrong description.The laws of exponents are:xa * xb = xa+bxa / xb = xa-b(xa)b = xa*b(xy)a = xa * yaThe first three are used to extend the domain of exponents to negative integers and rational numbers. Exponents to Irrational Numbers are defined as limits of the exponents of the rational sequences converging to the irrational number.Finally, 00 is not defined (because it does not converge).
by
selected by

Related questions

Are the notations used for exponents and logarithms confusing?

Description : Are the notations used for exponents and logarithms confusing?

Last Answer : answer:Consider multiplication. We express 2+2+2 as 3*2, which seems quite natural I completely disagree. I consider 3*2 to mean 3 + 3, not 2+2+2. I don't consider that backwards at all. It's ... 3, added two times . Correspondingly, 3^2 means 3 * 3, reading The number 3, multiplied two times .

What practical reason could there be for teaching the difference parenthesis make with regard to negative number bases with exponents?

Description : What practical reason could there be for teaching the difference parenthesis make with regard to negative number bases with exponents?

Last Answer : Isn’t this common knowledge that fits in nicely with order of operations? It is what I was always taught.

What is the operation above exponents?

Description : What is the operation above exponents?

Last Answer : There is no real notation nor name for that (yet, as far as I know); however, new ideas are recognized everyday, especially in the field of mathematics ;).

In the expression of `(x+y)^(123)` , the sum of the exponents of x and y in 63 rd term is __________

Description : In the expression of `(x+y)^(123)` , the sum of the exponents of x and y in 63 rd term is __________

Last Answer : In the expression of `(x+y)^(123)` , the sum of the exponents of x and y in 63 rd term is __________

What is a number that can be written using exponents is called a?

Description : What is a number that can be written using exponents is called a?

Last Answer : The exponential expression a^n is read a to the nth power. In this expression, a is the base and n is the exponent. The number represented by a^n is called the nth power of a.When n is a positive integer, you can interpret a^n as a^n = a x a x ... x a (n factors).

What 3800 as a product of its prime factors using exponents?

Description : What 3800 as a product of its prime factors using exponents?

Last Answer : It is: 2^3 times 5^2 times 19^1 = 3800

How would you write 420832544 in exponents?

Description : How would you write 420832544 in exponents?

Last Answer : It is 25*11*1195547.

What is the prime factorization of 77000 using exponents?

Description : What is the prime factorization of 77000 using exponents?

Last Answer : It is: 2^3 times 5^3 times 7 times 11 = 77,000

What is the prime factorization of 43 using exponents?

Description : What is the prime factorization of 43 using exponents?

Last Answer : 43 is prime. No factorization.

What is 12756 in expanded form with exponents?

Description : What is 12756 in expanded form with exponents?

Last Answer : 1 x 10^4 + 2 x 10^3 + 7 x 10^2 + 5 x 10^1 + 6 x 10^0

What sort of math equations involving exponents should I include on a math worksheet for a 13 year old?

Description : What sort of math equations involving exponents should I include on a math worksheet for a 13 year old?

Last Answer : It would be best to include shape work, triangles, percentages and times tables. The worksheet should gradually get more difficult allowing the students to ease in and feel comfortable with what they are doing.

How do you do exponents on a computer?

Description : How do you do exponents on a computer?

Last Answer : In text you need to change the font to superscript. In spreadsheets you use the ^ symbol. So 46 would be entered as "=4^6".

Write 3 expressions containing exponents so that each expression quals 81?

Description : Write 3 expressions containing exponents so that each expression quals 81?

Last Answer : One is 3 to the 4th power

Do you consider giving dictionary definitions to be lectures?

Description : Do you consider giving dictionary definitions to be lectures?

Last Answer : I don’t, and didn’t have the feeling anyone did.

With which words do you prefer to scorn common definitions in favor of their old school usage?

Description : With which words do you prefer to scorn common definitions in favor of their old school usage?

Last Answer : I still prefer normality to normalcy . . . (and I wasn’t even alive during the Harding Administration).

What does the use of the # symbol mean in XML Document Type Definitions?

Description : What does the use of the # symbol mean in XML Document Type Definitions?

Last Answer : answer:

Play silly definitions with me?

Description : Play silly definitions with me?

Last Answer : answer:I’ll start. Pursue The hunt for a new purse

What are the appropriate words for these definitions?

Description : What are the appropriate words for these definitions?

Last Answer : answer:In 1) I think you are talking about bloat or feature creep . It's a bit hard to tell because of the way the question is phrased. In 2) I think you are talking about ... . Server programs are very much about interfaces- but interfaces between programs, not between a program and a person.

Where do smaller competing dictionary apps get their definitions from?

Description : Where do smaller competing dictionary apps get their definitions from?

Last Answer : No, dictionaries aren’t allowed to copy each other unless they have permission. AIUI however, some older editions of Webster’s dictionaries are in the public domain and so other companies can use the content and call themselves “Webster’s”.

What's the difference between the name definitions of a market, a food store and a grocery store?

Description : What's the difference between the name definitions of a market, a food store and a grocery store?

Last Answer : Markets are smaller that grocery and food stores for sure. A grocery story sells mainly food, but other things as well, and a food store sells only food.

The etymology of the word is (to me) quite fascinating; we sometimes take for granted how they've come about, beyond their definitions. Do you like words and languages, or is it simply a tool, like math?

Description : The etymology of the word is (to me) quite fascinating; we sometimes take for granted how they've come about, beyond their definitions. Do you like words and languages, or is it simply a tool, like math?

Last Answer : answer:Great question! I loved your exposition of proclivity. Yes, I do have a proclivity for exploring words in their subtle meaning. I wish I had understood the power of knowing words in great ... seeming world because he drew upon cultural heritage that all of us unwittingly have been shaped by.

How do these word parts fit into certain words, based on their definitions? (details inside)

Description : How do these word parts fit into certain words, based on their definitions? (details inside)

Last Answer : Here is the thing .. although some of the words have their roots in other languages ie Latin. That doesn’t necessarily mean that the root always functions the way it should.

How many different definitions are there for the word love?

Description : How many different definitions are there for the word love?

Last Answer : And that’s only English.

How important are precision and completeness in learning definitions when expanding your vocabulary?

Description : How important are precision and completeness in learning definitions when expanding your vocabulary?

Last Answer : Sine Qua Non.

Software vs Interactive Internet: Expanding Definitions?

Description : Software vs Interactive Internet: Expanding Definitions?

Last Answer : The disc is hardware. Whatever is burned onto the disc is software/data. That’s the simplicity of it.. but…. if you wanna get all crazy… into this subject.. then there is a start with the OSI model.

Are Definitions flawed?

Description : Are Definitions flawed?

Last Answer : All that a definition is an agreed-upon meaning for a certain word or a value ascribed to a certain state.

Are there any Web services available for free to retrieve the definitions of words?

Description : Are there any Web services available for free to retrieve the definitions of words?

Last Answer : http://www.dictionary.com and if you want slang words http://www.urbandictionary.com

Is the English language a whole bunch of made-up words, definitions, and grammar, or does it actually make sense?

Description : Is the English language a whole bunch of made-up words, definitions, and grammar, or does it actually make sense?

Last Answer : I make sense of the English language on a daily basis! :)

What is different about the ancient and modern definitions of elements?

Description : What is different about the ancient and modern definitions of elements?

Last Answer : In ancient times the elements meant : water, fire, earth, andair. However the modern definition of elements is a pure substancethat cannot be broken down into a simpler substance.

What are definitions of language?

Description : What are definitions of language?

Last Answer : It is the Principe method of human communication

1. Statements related to definitions of Economic Planning: 

Description : 1. Statements related to definitions of Economic Planning: 

Last Answer : Choose the correct option and rewrite the sentence. 1. Statements related to definitions of Economic Planning: (a) A ... (3) b and d (4) d and c

Match the following terms with their definitions.?

Description : Match the following terms with their definitions.?

Last Answer : Match the following terms with their definitions.

What is the difference between phase and frequency modulation? A. Is purely theoretical because they are the same in practice B. Lies in poorer audio response of phase modulation C. Lies in the different definitions of the modulation index D. Is too great to make two systems compatible

Description : What is the difference between phase and frequency modulation? A. Is purely theoretical because they are the same in practice B. Lies in poorer audio response of phase modulation C. Lies in the different definitions of the modulation index D. Is too great to make two systems compatible

Last Answer : C. Lies in the different definitions of the modulation index

Problems with using Lines of Code to measure the size of a product include(s) a) The creation of source code is only part of the development effort b) The Lines of Code (LOC) will differ between languages and cannot bemeasured for some languages c) Should comments, data definitions etc (i.e. non-executable LOC) be includedas well? D) The final size (kLOC) can only be determined once the product is delivered e) All of the above.

Description : Problems with using Lines of Code to measure the size of a product include(s) a) The creation of source code is only part of the development effort b) The Lines of Code (LOC) will differ between ... The final size (kLOC) can only be determined once the product is delivered e) All of the above.

Last Answer : e) All of the above.

Definitions defined in ______of CCS Conduct rules a) Sec 2. b) Sec 3. c) Sec 1 d) Sec 4

Description : Definitions defined in ______of CCS Conduct rules a) Sec 2. b) Sec 3. c) Sec 1 d) Sec 4

Last Answer : a) Sec 2.

Which among the following definitions is correct: a) Address - The unique number ID assigned to one host or interface in a network b) Subnet - A portion of a network sharing a particular subnet address c) Subnet mask - A 32 bit combination used to describe which portion of an address refers to the subset and which part refers to the host d) Interface - A network connection e) None of These f) All of the Above

Description : Which among the following definitions is correct: a) Address - The unique number ID assigned to one host or interface in a network b) Subnet - A portion of a network sharing a particular subnet address c) ... to the host d) Interface - A network connection e) None of These f) All of the Above

Last Answer : f) All of the Above

Which among the following definitions are correct: a) Object - Any entity that has state and behavior is known as an object. b) Class - Collection of objects is called class. It is logical entity. c) Inheritance -When one object acquires all the properties and behaviors of parent object its knonw as inheritance. It provides code re-usability and is used to achieve run time polymorphism. d) All of the above e) None of These

Description : Which among the following definitions are correct: a) Object - Any entity that has state and behavior is known as an object. b) Class - Collection of objects is called class. It is logical entity. c) ... re-usability and is used to achieve run time polymorphism. d) All of the above e) None of These

Last Answer : d) All of the above

Which among the following definitions are correct: a) Epistemology - It is a study of the kinds of knowledge that are required for solving problems in the world b) Ontology - It is the study of the kinds of things that exist. In AI, the programs and sentences deal with various kinds of objects, and we study what these kinds are and what their basic properties are. Emphasis on ontology begins in the 1990s. c) Both of Above d) None of These

Description : Which among the following definitions are correct: a) Epistemology - It is a study of the kinds of knowledge that are required for solving problems in the world b) Ontology - It is the study of the ... basic properties are. Emphasis on ontology begins in the 1990s. c) Both of Above d) None of These

Last Answer : c) Both of Above

Which among the following definitions is correct: a) Address - The unique number ID assigned to one host or interface in a network b) Subnet - A portion of a network sharing a particular subnet addressc) Subnet mask - A 32 bit combination used to describe which portion of an address refers to thesubset and which part refers to the hostd) Interface - A network connectione) None of Thesef) All of the Above

Description : Which among the following definitions is correct: a) Address - The unique number ID assigned to one host or interface in a network b) Subnet - A portion of a network sharing a particular subnet address c) ... to the host d) Interface - A network connection e) None of These f) All of the Above

Last Answer : f) All of the Above

What are the advantages of using logical spool servers? Note: there are 2 correct answered to this question A. You can create more output devices B. You can balance the load across multiple physical spool servers C. You can minimize the load on physical devices D. You can minimize the manual adjustment of output device definitions after the transport

Description : What are the advantages of using logical spool servers? Note: there are 2 correct answered to this question A. You can create more output devices B. You can balance the load across ... on physical devices D. You can minimize the manual adjustment of output device definitions after the transport

Last Answer : B. You can balance the load across multiple physical spool servers C. You can minimize the load on physical devices

Which information is stored in a monitoring segment of the alert monitoring infrastructure within the Computing Center Management System (CCMS)? Note: there are 2 corrects answered to this questions A. Current monitoring data of monitored components B. The coding of data collectors C. Open alerts within CCMS D. Monitoring definitions

Description : Which information is stored in a monitoring segment of the alert monitoring infrastructure within the Computing Center Management System (CCMS)? Note: there are 2 corrects answered to this questions A. ... B. The coding of data collectors C. Open alerts within CCMS D. Monitoring definitions

Last Answer : A. Current monitoring data of monitored components B. The coding of data collectors

Test planning should begin A. At the same time that requirement definitions begins B. When building starts C. When code build is complete D. After shipping the first version

Description : Test planning should begin A. At the same time that requirement definitions begins B. When building starts C. When code build is complete D. After shipping the first version

Last Answer : A. At the same time that requirement definitions begins

Match the following HTTP status code to their respective definitions. i) 400 a) OK ii) 500 b) Not found iii) 200 c) Continue iv) 100 d) Internal server error A) i-b, ii-d, iii-a, iv-c B) i-a, ii-b, iii-c, iv-d C) i-b, ii-c, iii-a, iv-d D) i-b, ii-a, iii-c, iv-d

Description : Match the following HTTP status code to their respective definitions. i) 400 a) OK ii) 500 b) Not found iii) 200 c) Continue iv) 100 d) Internal server error A) i-b, ii-d, iii-a, iv-c B) i-a, ii-b, iii-c, iv-d C) i-b, ii-c, iii-a, iv-d D) i-b, ii-a, iii-c, iv-d

Last Answer : A) i-b, ii-d, iii-a, iv-c

Identify the criteria for designing database from the point of view of user A) No redundancy B) No inapplicable attributes C) Uniformity in naming & definitions of the data items D) All of the above

Description : Identify the criteria for designing database from the point of view of user A) No redundancy B) No inapplicable attributes C) Uniformity in naming & definitions of the data items D) All of the above

Last Answer : D) All of the above

……………. Allows definitions and query language statements to be entered; query results are formatted and displayed. A) Schema Processor B) Query Processor C) Terminal Interface D) None of the above

Description : ……………. Allows definitions and query language statements to be entered; query results are formatted and displayed. A) Schema Processor B) Query Processor C) Terminal Interface D) None of the above

Last Answer : C) Terminal Interface

Match the following HTTP status code to their respective definitions. i) 400 a) OK ii) 500 b) Not found iii) 200 c) Continue iv) 100 d) Internal server error A) i-b, ii-d, iii-a, iv-c B) i-a, ii-b, iii-c, iv-d C) i-b, ii-c, iii-a, iv-d D) i-b, ii-a, iii-c, iv-d

Description : Match the following HTTP status code to their respective definitions. i) 400 a) OK ii) 500 b) Not found iii) 200 c) Continue iv) 100 d) Internal server error A) i-b, ii-d, iii-a, iv-c B) i-a, ii-b, iii-c, iv-d C) i-b, ii-c, iii-a, iv-d D) i-b, ii-a, iii-c, iv-d

Last Answer : A) i-b, ii-d, iii-a, iv-c

Write the definitions of yoga?

Description : Write the definitions of yoga?

Last Answer : (a) “Checking the impulses of mind is yoga.” (By Mahrishi Patanjali) (b) “Yoga is spiritual kamdhenu.” (By Swami Sampurnanand)

Definitions.......

Description : Distributed under Creative Commons Attribution-ShareAlike - CC BY-SA.

Last Answer : Definitions  Now we are ready to take some definitions  Real Time  Real'-time usually means time as prescribed by external sources For example the time struck by clock (however ... the computer user, typically does not result in a system failure.   Version 2 EE IIT, Kharagpur