Harder Indices
SLIDE 1
Definition of an index
RULES
Multiplication
Division
Negative Index
Zero Index
Exponent of exponent
Rational Index
SLIDE 2
Using the integer 2, write examples that will help to explain and justify each of the rules
Multiplication
Division
Negative Index
Zero Index
Exponent of exponent
Rational Index
SLIDE 3
Using the integer 2, write out examples that will help to explain and justify each of the rules
Multiplication
Division
Negative Index
Zero Index
Exponent of exponent
Rational Index
SLIDE 4
Definition of an index
From memory, state all the rules for indices
RULES
Multiplication
Division
Negative Index
Zero Index
Exponent of exponent
Rational Index
SLIDE 5
Definition of an index
RULES
Multiplication
Division
Negative Index
Zero Index
Exponent of exponent
Rational Index
SLIDE 6
Evaluate
? ?
? ?
SLIDE 7
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?
?
SLIDE 8
Evaluate
? ?
? ?
SLIDE 9
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?
SLIDE 10
Simplify
? ?
? ?
SLIDE 11
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SLIDE 12
? Write as a product of its prime factors.
? Express in the form , stating y in terms of x.
? Express in the form , stating y and z in terms of x.
SLIDE 13
?
?
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SLIDE 14
Index equation
Solve
Solution
It is possible to just �spot� the answer. Since , .
Method
Write 16 as a number to the base 2.
Equate the indices
If two numbers to the same base are equal, then their indices must also be equal.
SLIDE 15
Solve
? ?
? ?
SLIDE 16
? ?
? ?
SLIDE 17
Write in the form where p and q are constants.
SLIDE 18
Write in the form where p and q are constants.
Solution
SLIDE 19
Simplify , by writing without a denominator.
SLIDE 20
Simplify , by writing without a denominator.
Solution
SLIDE 21
Write in the form where p and q are constants.
SLIDE 22
Write in the form where p and q are constants.
Solution
SLIDE 23
Write in the form , where A, B and C are constants, and evaluate
SLIDE 24
Write in the form , where A, B and C are constants, and evaluate
Solution
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