Indices

	Introduction
	If m is a positive integer, a x a x a …. m times is written as am. 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". In this chapter we will study the laws of indices.
	Indices
	Laws of Indices: 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]
	(iv) (ab)^m = a^m . b^m
	(v)
	(vi) a^o = 1
	(vii)
	Surd: An irrational root of a positive rational number is called a surd.
	Summary
	1) a^maⁿ = a^m+n
	2) a^m/aⁿ = a^m-n
	3) (a^m)ⁿ = a^mn
	4) (ab)^m = a^mb^m
	5) (a/b)^m = a^m/b^m
	6) a⁰ = 1
	7) a^-m = 1/(a^m)
	8) a^m/n = ⁿÖa^m

Indices

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