May 29th, 2015
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Revision Topic 14: AlgebraIndices:At Grade B and C levels, you should be familiar with the following rules of indices:i.e. add powers when multiplying;i.e. subtract powers when dividing;i.e. when you have a power of a power, multiply powers together.i.e. anything to the power 0 is 1.Example:Simplify each of the following, if possible:a) b) c) d) e) Solution:a) (add powers together).b) c) (anything to the power 0 is 1)d) (multiply powers together)e) this cannot be simplified as the base numbers (a and b) are different letters.Example 2:Work out the value of each of the following:a) b) c) Solution:a) b) (anything to the power 0 is 1)c) Example 3:Simplify: a) b) c) Solution:a) (i.e. multiply together the numbers and add the powers)b) (i.e. divide numbers and subtract powers)c) .Examination Style QuestionFind the value of x in each of the following:a) b) c) d) Examination Style Question 2:Simplify fully each of these expressions. Leave your answers in power form.a) b) c) d) e) .Examination Style Question 3:Simplify each of the following expressions.a) b) c) Expanding bracketsExpanding out a single bracket: You can remove a single bracket by multiplying everything inside the bracket by the number, or expression, on the outside.ExampleExpand the following brackets:a) 6(7d 4)b) y(8y 2x + 1)c) d)

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