Transcript Powers - Boardworks

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Index notation
We use index notation to show repeated multiplication by the
same number.
We can use index notation to simplify the way we write the
expression: 2 × 2 × 2 × 2 × 2.
25
Index or power
Base
This number is read as ‘two to the power of five’.
25 = 2 × 2 × 2 × 2 × 2 =
32
Use index notation to show: 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2.
What is the value of the calculation?
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Index notation
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A justifiable conclusion?
Two students in Miss Jones’ class notice an
interesting pattern emerging when they are
raising negative numbers to different powers.
When we raise a negative number to an
odd power, the answer is negative.
When we raise a negative number to an
even power the answer is positive.
Using your knowledge of how positive and negative
numbers interact when multiplied, can you prove that
this is always true?
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Index laws
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Using index laws
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Index laws
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