Learn All Concepts of Chapter 1 Class 9 - FREE. Check - Chapter 1 Class 9 Maths

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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 

Exponent law.jpg

  • √a = a 1/2

  • ∛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

Exponent law with examples.jpg

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

  1. Chapter 1 Class 9 Number Systems
  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 𝟐^(−𝟓 )=𝟏/𝟐^𝟓 𝒙^(𝟏/𝟐)= √𝒙 Laws of Exponents √(𝑛&𝑎)=𝑎^(1/𝑛) 𝑎^𝑝.𝑎^𝑞=𝑎^(𝑝 + 𝑞) 𝑎^𝑝/𝑎^𝑞 =𝑎^(𝑝 − 𝑞) (𝑎^𝑝 )^𝑞=𝑎^(𝑝 𝑞) 𝑎^𝑝 𝑏^𝑝=(𝑎𝑏)^𝑝 𝑎^0=1 𝑎^(−𝑛)=1/𝑎^𝑛 Laws of Exponents What about x = 0 in xn ? Positive power – Negative power - 0^𝑛 0 power -

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Davneet Singh
Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 9 years. He provides courses for Maths and Science at Teachoo.