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Indices or Powers - mathcentre.ac.uk

Indices or Powersmc-TY-indicespowers-2009-1A knowledge of Powers , or Indices as they are often called, isessential for an understandingof most algebraic processes. In this section of text you willlearn about Powers and rules formanipulating them through a number of worked order to master the techniques explained here it is vital that you undertake plenty of practiceexercises so that they become second reading this text, and/or viewing the video tutorial on this topic, you should be able to: simplify expressions involving Indices use the rules of Indices to simplify expressions involving Indices use negative and fractional first rule:am an=am+ second rule:(am)n= third rule:am an=am fourth rule:a0= fifth rule:a 1=1aanda m= sixth rule:a12= aanda1q=q final result:apq= (ap)1q=q ap,apq= (a1q)p= (q a) mathcentre 20091.

Exercises 1. Evaluate each of the following. a) 35 b) 73 c) 29 d) 53 e) 44 f) 83 2. The first rule Suppose we have a3 and we want to multiply it by a2.That is a3 × a2 = a× a× a × a×a Altogether there are five a’s multiplied together.

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