AI generatedNumberKey Stage 3

Power of a power

Power of a power.

  • 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.

A power raised to a power: multiply the indices.

Example 2

Write as a single power.

A power raised to a power: multiply the indices.

Your turn

Question 1

Write as a single power.

Check answer
A power raised to a power: multiply the indices.
Question 2

Write as a single power.

Check answer
A power raised to a power: multiply the indices.
Question 3

Write as a single power.

Check answer
A power raised to a power: multiply the indices.
Question 4

Write as a single power.

Check answer
A power raised to a power: multiply the indices.
Question 5

Write as a single power.

Check answer
A power raised to a power: multiply the indices.