Dividing powers with the same base
Dividing 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 Same non-zero base: subtract the indices.
Write as a single power.
Check answer
Question 2 Same non-zero base: subtract the indices.
Write as a single power.
Check answer
Question 3 Same non-zero base: subtract the indices.
Write as a single power.
Check answer
Question 4 Same non-zero base: subtract the indices.
Write as a single power.
Check answer
Question 5 Same non-zero base: subtract the indices.
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.