This document discusses how to write expressions with repeated multiplication as a single power or exponential form. It introduces the rules that when multiplying or dividing powers with the same base, you keep the base and add or subtract the exponents. For example, 6 x 6 x 6 x 6 can be written as 64, and (6 x 6 x 6 x 6) x (6 x 6 x 6) can be written as 64 x 63 = 67. The document provides examples of applying these rules to simplify expressions into single powers.

1. Multiplying Exponents Powers with the Same Base
How could you write
6 x 6 x 6 x 6
as a power?
How could you write
6 x 6 x 6
as a power?
So how do you think you could write
(6 x 6 x 6 x 6) x (6 x 6 x 6)
as a power?
So if we write that using powers only
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2. Multiplication of powers with the same
base
The rule
(am)(an) = am+n
Which reads when you multiply two
powers with the same base
Keep the base and add the
exponents
Example
114 x 112 = 114+2 = 116
Examples write each as a single power
a)
b)
c)
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3. What do you get when you
Divide as repeated multiplication Divide as powers
2 x 2 x 2 x 2 x 2 x 2 x 2 27
by by
2 x 2 x 2 23
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4. Dividing Powers Rule
am
an = am÷ an = am­n
When you divide a power by a power and they have the
same bases
Keep the base and subtract the exponents
Examples
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5. Assignment
Read pages 99­ 102
Do questions 5­13 on page 106
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