AQA Mathematics Core 2 - Indicies Powerful stuff... 3.5 / 5 based on 3 ratings ? MathematicsAll LevelsAQA Created by: AlineCreated on: 01-04-10 21:28 Basic rules Make sure you know these rules- they are the shizzle!! x^a X x^b = x^ a+b (when multiplying powers, add the indices) x^a / x^b = x^a-b (when dividing powers, subtract the indices) (x^a)^b = x^ab (when finding powers of powers, multiply the indices) x^0 = 1 (any number to the power of 0 is ALWAYS 1) x^ -a = x^ (1/x^a) ( turn a negative power into a fraction) 1 of 4 Examples.. Write 9^5 as a power of 3. 9= 3^2 9^5= (3^2)^5 2X5 = 10 9^5 = 3^10 Write (1/4)^5 as a power of 2. 1/4= 1/2^2 = 2^ -2 (2^ -2)^5 = 2^(-2 X 5) =2^ -10 2 of 4 Roots a hoy! This won't have any symbols in because unfortunately my keyboard doesn't have a root sign. Sorry! More Rules to learn... the nth root.. when n is even, it stands for a POSITIVE nth root) x^(1/n) = the nth root of x x^(m/n) = (x^1/n)^m = (nth root of x)^m OR nth root of (x^m) 3 of 4 Examples... Evaluate 36^(1/2) squared root of 36 = 6 Write (x X squared root of x) ^ 3 as a power of x squared root of x = x^(1/2) (x X x^(1/2) ) ^3 = x^3 X x^(3/2) =x^(9/2) 4 of 4
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