AI generatedNumberKey Stage 3

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.

Same non-zero base: subtract the indices.

Example 2

Write as a single power.

Same non-zero base: subtract the indices.

Your turn

Question 1

Write as a single power.

Check answer
Same non-zero base: subtract the indices.
Question 2

Write as a single power.

Check answer
Same non-zero base: subtract the indices.
Question 3

Write as a single power.

Check answer
Same non-zero base: subtract the indices.
Question 4

Write as a single power.

Check answer
Same non-zero base: subtract the indices.
Question 5

Write as a single power.

Check answer
Same non-zero base: subtract the indices.