Laws of exponents

Chapter 1 Class 9 Number Systems
Concept wise

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

• √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

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

### 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 has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 14 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.