Surds and Indices Concepts and FormulasLaws of Indices1) Case 1: MultiplicationWhen the bases are same, and the powers are different or same then, in this case, all the powers are added, i.e. ![]() ![]() 2) Case 2: DivisionWhen the bases are same, and the powers are different or same then, in this case, all the powers are subtracted, i.e. ![]() ![]() 3) If any number has the power of power then it is multiplied, i.e. ![]() ![]() 4) If the power of any number is zero (0) then it is equal to 1, i.e. ![]() 5) If any number has power 'n' then, i.e. ![]() 6) 7) Laws of Surds1) The roots of those quantities which cannot be accurately obtained are called surds,e.g. √2,√(2&7 ),etc. 2) When a rational number and a surd multiplied together to produce a mixed surd,e.g.,2 √(3 ),4 √(5,) etc. 3) a1/n is called the surd of the nth order. 4) 5) 6) 7) 8) 9) 10) Surds and Indices Test Paper 1 Surds and Indices Test Paper 2 Surds and Indices Test Paper 3 Surds and Indices Test Paper 4
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