Author note — to cover

Multiplying indices when raising a power to a power, e.g. (2 cubed) to the 4, explicitly contrasted with 2 cubed times 2 to the 4; combined-law simplifications with numeric bases. Justifies fractional indices later at Higher; algebraic versions live on the Algebra notation page. Both tiers. (N7)

Introduction

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Practice and continue

Practice

Raising a power to a power

Multiplying the indices, and telling this apart from multiplying powers.

Next lesson

Powers of a product and a quotient

Applying an index to every factor in a bracket and both parts of a fraction.