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At the bottom of the page there is an interactive quiz.

Activities 4

4.1)

Write as a single power:

a): $4^{3} \times 4^{5}$
b): $5^{3} \times 5^{2}$
c): $4^{12} \times 4^{10}$
d): $5^{6} \times 5^{3}$
e): $7^{2} \times 7^{3}$
f): $4^{4} \times 4^{2}$

a): $4^{3} \times 4^{5}$
b): $5^{3} \times 5^{2}$
c): $4^{12} \times 4^{10}$
d): $5^{6} \times 5^{3}$
e): $7^{2} \times 7^{3}$
f): $4^{4} \times 4^{2}$

4.2)

Write as a single power:

a): $4^{- 3} \times 4^{5}$
b): $5^{3} \times 5^{- 2}$
c): $4^{- 12} \times 4^{- 10}$
d): $5^{6} \times 5^{- 3}$
e): $7^{- 2} \times 7^{3}$
f): $4^{- 4} \times 4^{- 2}$

a): $4^{- 3} \times 4^{5}$
b): $5^{3} \times 5^{- 2}$
c): $4^{- 12} \times 4^{- 10}$
d): $5^{6} \times 5^{- 3}$
e): $7^{- 2} \times 7^{3}$
f): $4^{- 4} \times 4^{- 2}$

You can find the solutions here.

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The Multiplication Rule

The Division Rule