Exponent Problems | Negative Sign and Powers | Very important Concept | Class8 Ex 12.1 Q1 All Parts скачать в хорошем качестве

Exponent Problems | Negative Sign and Powers | Very important Concept | Class8 Ex 12.1 Q1 All Parts

Exponent Problems | Negative Sign and Powers | Very important Concept | Shortcut Tricks | In this video, Concept of Negative sign and powers in Exponent problems are explained. Problem discussed are:- 1) 3ˉ² 2) (-4)ˉ² 3) (1/2 )ˉ⁵ and similar Questions. Whole concept is cleared by taking different examples. Welcome to Nand Kishore Classes For 8th, 9th & 10th (Mathematics) New Batches start w.e.f. 1st April 2021 (Online) To Fill the Registration Form, Click at below Link https://forms.gle/FFRPDgMmTHq87MYu7​ Click at below links to download the PDFs containing YouTube Links 1. Basic Math http://nandkishoreclasses.com/basicma... 2. Shortcut Tricks & Reasoning http://nandkishoreclasses.com/shorttr... 3. Kids Activities http://nandkishoreclasses.com/kidsact... 4. Class 4th http://nandkishoreclasses.com/class4​ 5. Class 5th http://nandkishoreclasses.com/class5​ 6. Class 8th http://nandkishoreclasses.com/class8​ 7. Class 9th http://nandkishoreclasses.com/class9​ 8. Class 10th http://nandkishoreclasses.com/class10​ 9. Class 11th http://nandkishoreclasses.com/class11​ 10. Class 12th http://nandkishoreclasses.com/class12 Class 8 Exponents and Powers Ex 12.1 Q1 Class 8 Exponents And Powers Negative Sign Problems Q.1 Ex.12.1 Exponents and Powers Negative Sign and power Mistakes Negative sign Power MIstakes Exponents are powers or indices. An exponential expression consists of two parts, namely the base, denoted as b and the exponent, denoted as n. The general form of an exponential expression is b n. For example, 3 x 3 x 3 x 3 can be written in exponential form as 34 where 3 is the base and 4 is the exponent. They are widely used in algebraic problems, and for this reason, it is important to learn them so as to make the studying algebra easy. Ex 12.1 Class 8 Maths Question 1. Evaluate: (i) 3-2 (ii) (-4)-2 (iii) (1/2)-5 Exponent Problems Important Exponent Problems How to Solve Exponent Problems To help you understand the negative exponent rule better, this paper discusses in detail the following topics of negative exponent rule: Negative exponents rule Examples of negative exponents Negative fractional exponents How to solve Fractions with negative exponents How to multiply negative exponents Dividing negative exponents Before we tackle each one of these topics, let us do a quick recap of the rules of exponents. Multiplication of powers with same base: With multiplication of like bases, add the powers together. Quotient of powers rule: When dividing like bases, the powers are subtracted Power of powers rule: Multiply powers together when raising a power by another exponent Power of a product rule: Distribute power to each base when raising several variables by a power Power of a quotient rule: Distribute power to each base when raising several variables by a power Zero power rule: This rule implies that, any base raised to a power of zero is equal to one Negative exponent rule: To convert a negative exponent to a positive one, write the number into a reciprocal. How to Solve Negative Exponents? The law of negative exponents states that, when a number is raised to a negative exponent, we divide 1 by the base raised to a positive exponent. The general formula of this rule is: a -m = 1/a m and (a/b) -n = (b/a) n. Example 1 Below are examples of how negative exponent rule works: 2 -3= 1/2 3 = 1/ (2 x 2 x 2) = 1/8 = 0.125 2 -2 = 1/2 2 = 1/4 (2/3) -2 = (3/2) 2 Negative fractional exponents The base b raised to the negative power of n/m is equivalent to 1 divided by the base b raised to the positive exponent of n/m: b -n/m = 1 / b n/m = 1 / (m √b) n It implies that, if the base 2 is raised to the negative exponent of 1/2, it is equivalent to 1 divided by the base 2 raised to the positive exponent of 1/2: 2-1/2 = 1/21/2 = 1/√2 = 0.7071 You should notice that a fractional negative exponent is the same as finding the root of the base. Fractions with negative exponents The rule implies that, if a fraction a/b is raised to the negative exponent of n, it is equal to 1 divided by the base a/b raised to the positive exponent of n: (a/b) -n = 1 / (a/b) n = 1 / (a n/b n) = b n/a n The base 2/3 raised to the negative exponent of 2 is equal to 1 divided by the base 2/3 raised to the positive exponent of 2. In other words, 1 is divide by the reciprocal of the base raised to a positive exponent of 2 (2/3) -2 = 1 / (2/3) 2 = 1 / (2 2/3 2) = (3/2)2 = 9/4 = 2.25 Welcome to Nand Kishore Classes Facebook Page -   / nandkishorec...​   YouTube Channel -    / nandkishore...​   Instagram -   / nandkishore...​   Twitter -   / nandclasses​   Website http://nandkishoreclasses.com​