Multiplying powers with the same base
Multiplying powers with the same base.
- Check the brackets and the sign of the base before applying an index rule.
- For a common base: multiplication adds indices, division subtracts them, and a power of a power multiplies them.
- A negative index takes a reciprocal. A fractional index uses a root.
Example 1
Write as a single power.
Example 2
Write as a single power.
Your turn
Question 1
Write as a single power.
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Question 2
Write as a single power.
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Question 3
Write as a single power.
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Question 4
Write as a single power.
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Question 5
Write as a single power.
Check answer
Write as a single power.
Write as a single power.
Write as a single power.
Write as a single power.
Write as a single power.