Fractions

1
Fractions Indices.
Rule 1 Multiplication of Indices. a n x a m
a n m
Rule 2 Division of Indices. a n ? a m a n -
m
2
Revision.
The next two slides are a revision of the basic
rules of Index Numbers. If they are not familiar
to you , then you require to go over the Rules
Of Indices PowerPoint presentation again.
3
Summary Of The Rules Of Indices.
Rule 1 Multiplication of Indices. a n x a m
a n m
Rule 2 Division of Indices. a n ? a m a n -
m
4
Rule 4 For Powers Of Index Numbers. ( a m ) n
a m n
5
Applying The Rules With Fractions.
We are now going to look at the rules of indices
again but use them with fractions that are
obtained from the roots of numbers.
6
Multiplication
Example 1.
Simplify
Solution.

• Change the roots to powers.

• Select the appropriate rule of indices.

Rule 1 Multiplication of Indices. a n x a m
a n m

• Add the fractions.

7
Example 2.
Simplify
Solution.

• Change the roots to powers.

• Select the appropriate rule of indices.

Rule 1 Multiplication of Indices. a n x a m
a n m

• Add the fractions.

8
Division.
Example 1.
Simplify
Solution.

• Change the roots to powers.

• Select the appropriate rule of indices.

Rule 2 Division of Indices. a n ? a m a n - m

• Subtract the fractions.

9
Example 2.
Simplify
Solution.

• Change the roots to powers.

• Select the appropriate rule of indices.

Rule 2 Division of Indices. a n ? a m a n - m

• Subtract the fractions.

10
Multiplication Division
Example 1.
Simplify

• Change the roots to powers.

• Select the appropriate rule of indices.

Rule 1 Multiplication of Indices. a n x a m
a n m
Solution.
Rule 2 Division of Indices. a n ? a m a n - m

• Calculate the fractions.

11
Example 2.

• Change the roots to powers.

Simplify

• Select the appropriate rule of indices.

Rule 1 Multiplication of Indices. a n x a m
a n m
Solution.
Rule 2 Division of Indices. a n ? a m a n - m

• Calculate the fractions.

12
Example 3.
Simplify
Solution.
13
Example 4.
Simplify
Solution.
14
Power To The Power.
Example 1.
Simplify

• Change the roots to powers.

• Select the appropriate rule of indices.

Rule 4 For Powers Of Index Numbers. ( a m ) n
a m n
Solution.

• Multiply the fractions.

15
Example 1.
Simplify

• Change the roots to powers.

• Select the appropriate rule of indices.

Solution.
Rule 4 For Powers Of Index Numbers. ( a m ) n
a m n

• Multiply the fractions.

16
What Goes In The Box ?
Simplify the expressions below