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S5 Int2. Algebraic Operations. Adding / Sub Indices. Negative Indices. www.mathsrevision.com. Fraction Indices. Harder Indices. S5 Int2. 1. Simplify the following fractions :. Starter Questions. Algebraic Operations. S5 Int2. Learning Intention. Success Criteria.

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## Algebraic Operations

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**S5 Int2**Algebraic Operations Adding / Sub Indices Negative Indices www.mathsrevision.com Fraction Indices Harder Indices www.mathsrevision.com**S5 Int2**1. Simplify the following fractions : Starter Questions www.mathsrevision.com**Algebraic Operations**S5 Int2 Learning Intention Success Criteria • To explain how to multiply and divide indices by adding / subtracting powers. • Understand basic rules for indices. • 2. Simplify indices. www.mathsrevision.com www.mathsrevision.com**S5 Int2**an is a short hand way of writing a x a x a ……. (n factors) a is called the base number and n is called the index number Indices x 2 x 2 Calculate : 23 x 22 2 x 2 x 2 = 32 Calculate : 25 = 32 Can you spot the connection ! www.mathsrevision.com**S5 Int2**Indices Calculate : 43÷ 42 4 x 4 x 4 = 4 ÷ 4 x 4 Calculate : 41 = 4 Can you spot the connection ! am x an = a(m + n)simply add powers am÷ an = a(m - n)simply subtract powers www.mathsrevision.com**What Goes In The Box ?**S5 Int2 f4 x g5 = b3 x b5= b8 a3 x a0 = y9÷ y5 = y4 Exercise 11 Page 209 www.mathsrevision.com**S5 Int2**1. Simplify the following fractions : Starter Questions www.mathsrevision.com**Algebraic Operations**S5 Int2 Learning Intention Success Criteria • To explain how to hand fractional indices of powers. • Understand basic rules for fractional indices. • 2. Simplify fractional indices. www.mathsrevision.com www.mathsrevision.com**S5 Int2**Fractions as Indices More Rules By the division rule www.mathsrevision.com**S5 Int2**Fractions as Indices More Rules www.mathsrevision.com**S5 Int2**More Rules Fractions as Indices www.mathsrevision.com**S5 Int2**Fractions as Indices Exercise 12 Page 210 www.mathsrevision.com**S5 Int2**1. Rationalise the denominator : Starter Questions www.mathsrevision.com**Algebraic Operations**S5 Int2 Learning Intention Success Criteria • To explain how to hand fractional indices of powers. • Understand basic rules for fractional indices. • 2. Simplify fractional indices. www.mathsrevision.com www.mathsrevision.com**S5 Int2**Fractions as Indices www.mathsrevision.com**S5 Int2**Fractions as Indices www.mathsrevision.com**S5 Int2**Fractions as Indices In general we have www.mathsrevision.com**S5 Int2**Examples : Simplify the following Fractions as Indices www.mathsrevision.com**S5 Int2**Fractions as Indices Exercise 13 Page 211 www.mathsrevision.com**S5 Int2**1. Rationalise the denominator : Starter Questions www.mathsrevision.com**Algebraic Operations**S5 Int2 Learning Intention Success Criteria • To show how to simplify harder fractional indices. • Simplify harder fractional indices. www.mathsrevision.com www.mathsrevision.com**S5 Int2**Fractions as Indices Final Rule www.mathsrevision.com**S5 Int2**Fractions as Indices Examples www.mathsrevision.com**S5 Int2**Fractions as Indices Examples www.mathsrevision.com**S5 Int2**Example : Change to index form Fractions as Indices Example : Change to surd form www.mathsrevision.com**S5 Int2**Fractions as Indices Exercise 213 Page 213 www.mathsrevision.com

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