Laws of Exponents and Indices -  with Examples [Video] - Teachoo

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Laws of Exponents - Part 2

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Laws of Exponents - Part 3 Laws of Exponents - Part 4 Laws of Exponents - Part 5 Laws of Exponents - Part 6 Laws of Exponents - Part 7 Laws of Exponents - Part 8 Laws of Exponents - Part 9 Laws of Exponents - Part 10

 

Let's first see what exponents are

In 2 5 ,

2 is the base

5 is the exponent (or index)

 

Let's study the law of indices 

Laws of Exponents - Part 11

  • √a = a 1/2

  • โˆ›a = a 1/3

  • n √a = a 1/n

  • a p.  a q = a p + q
  • a p / a q  = a p - q
  • a p.  b p = (ab) p
  • (a p ) q.  = a pq
  • a 0 .  = 1
  • a –n.  = 1/a n

 

Exponent law with examples

Laws of Exponents - Part 12

Click next for more questions on exponents. You can also check Algebra Formulas

  1. Chapter 1 Class 9 Number Systems (Term 1)
  2. Concept wise

Transcript

Exponents Exponents are also called powers What you need to know 3 things Exponents means power Negative exponents mean dividing A fractional exponent means nth root ๐Ÿ^(โˆ’๐Ÿ“ )=๐Ÿ/๐Ÿ^๐Ÿ“ ๐’™^(๐Ÿ/๐Ÿ)= โˆš๐’™ Laws of Exponents โˆš(๐‘›&๐‘Ž)=๐‘Ž^(1/๐‘›) ๐‘Ž^๐‘.๐‘Ž^๐‘ž=๐‘Ž^(๐‘ + ๐‘ž) ๐‘Ž^๐‘/๐‘Ž^๐‘ž =๐‘Ž^(๐‘ โˆ’ ๐‘ž) (๐‘Ž^๐‘ )^๐‘ž=๐‘Ž^(๐‘ ๐‘ž) ๐‘Ž^๐‘ ๐‘^๐‘=(๐‘Ž๐‘)^๐‘ ๐‘Ž^0=1 ๐‘Ž^(โˆ’๐‘›)=1/๐‘Ž^๐‘› Laws of Exponents What about x = 0 in xn ? Positive power โ€“ Negative power - 0^๐‘› 0 power -

About the Author

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Davneet Singh
Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 10 years. He provides courses for Maths and Science at Teachoo.