Laws of exponents

Chapter 1 Class 9 Number Systems
Concept wise

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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

• βa = a 1/2

• βa = a 1/3

• n β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 βn. Β = 1/a n

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## Exponent law with examples

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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 π^(βπ )=π/π^π π^(π/π)= βπ Laws of Exponents β(π&π)=π^(1/π) π^π.π^π=π^(π + π) π^π/π^π =π^(π β π) (π^π )^π=π^(π π) π^π π^π=(ππ)^π π^0=1 π^(βπ)=1/π^π Laws of Exponents What about x = 0 in xn ? Positive power β Negative power - 0^π 0 power -