Indices

	Introduction
	If m is a positive integer, a x a x a …. m times is written as a^m. a is called the base and m is the power. We read it as "a raised to the power m". The power is also called "the index" or "the exponent".
	Indices
	We know that 64 = 2 x 2 x 2 x 2 x 2 x 2 = 2⁶ Here 2 is called the base and 6 is called the power (or index or exponent). We say that "64 is equal to base 2 raised to the power 6". The Laws of Indices are : Product Law, Quotient Law, Power Law, (ab)^m = a^m . b^m. An irrational root of a positive rational number is called a surd.
	Summary
	If m and n are positive integers, and then
	(i) a^m aⁿ= a^m⁺ⁿ [Product Law]
	(ii) [Quotient Law]
	(iii) (a^m)ⁿ = a^mⁿ [Power Law].

Indices

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