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

Laws of Exponents - Part 2
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

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Let's first see what exponents are

In 2 5 ,

2 is the base

5 is the exponent (or index)

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Let's study the law of indicesΒ 

Laws of Exponents - Part 11

  • √a = a 1/2

  • βˆ›a = a 1/3

  • n √a = a 1/n

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

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Exponent law with examples

Laws of Exponents - Part 12

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

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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^(βˆ’πŸ“ )=𝟏/𝟐^πŸ“ 𝒙^(𝟏/𝟐)= βˆšπ’™ Laws of Exponents √(𝑛&π‘Ž)=π‘Ž^(1/𝑛) π‘Ž^𝑝.π‘Ž^π‘ž=π‘Ž^(𝑝 + π‘ž) π‘Ž^𝑝/π‘Ž^π‘ž =π‘Ž^(𝑝 βˆ’ π‘ž) (π‘Ž^𝑝 )^π‘ž=π‘Ž^(𝑝 π‘ž) π‘Ž^𝑝 𝑏^𝑝=(π‘Žπ‘)^𝑝 π‘Ž^0=1 π‘Ž^(βˆ’π‘›)=1/π‘Ž^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 12 years. He provides courses for Maths and Science at Teachoo.