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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 l.jpg

S5 Int2

Algebraic Operations

Adding / Sub Indices

Negative Indices

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Fraction Indices

Harder Indices

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Starter questions l.jpg

S5 Int2

1. Simplify the following fractions :

Starter Questions

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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.

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Indices l.jpg

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 !

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Indices5 l.jpg

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

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What goes in the box l.jpg
What Goes In The Box ?

S5 Int2

f4 x g5 =

b3 x b5=

b8

a3 x a0 =

y9÷ y5 =

y4

Exercise 11 Page 209

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S5 Int2

1. Simplify the following fractions :

Starter Questions

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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.

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www.mathsrevision.com


Fractions as indices l.jpg

S5 Int2

Fractions as Indices

More Rules

By the division rule

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S5 Int2

Fractions as Indices

More Rules

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S5 Int2

More Rules

Fractions as Indices

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S5 Int2

Fractions as Indices

Exercise 12 Page 210

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Starter questions13 l.jpg

S5 Int2

1. Rationalise the denominator :

Starter Questions

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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


Fractions as indices15 l.jpg

S5 Int2

Fractions as Indices

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S5 Int2

Fractions as Indices

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S5 Int2

Fractions as Indices

In general we have

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Fractions as indices18 l.jpg

S5 Int2

Examples : Simplify the following

Fractions as Indices

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S5 Int2

Fractions as Indices

Exercise 13 Page 211

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Starter questions20 l.jpg

S5 Int2

1. Rationalise the denominator :

Starter Questions

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Slide21 l.jpg

Algebraic Operations

S5 Int2

Learning Intention

Success Criteria

  • To show how to simplify harder fractional indices.

  • Simplify harder fractional indices.

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www.mathsrevision.com


Fractions as indices22 l.jpg

S5 Int2

Fractions as Indices

Final Rule

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S5 Int2

Fractions as Indices

Examples

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S5 Int2

Fractions as Indices

Examples

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S5 Int2

Example : Change to index form

Fractions as Indices

Example : Change to surd form

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S5 Int2

Fractions as Indices

Exercise 213 Page 213

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