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Topic: Indices and Standard Form (Higher - Unit 2)

Specification References: N1.9h

N1.9h Index laws for multiplication and division of integer powers, fractional powers and negative powers.


Candidates should be able to:

  • use the index laws for multiplication and division of integer powers

Notes

This reference includes all the requirements of N1.9 and some additional requirements for the Higher tier only.

Examples

  1. Write (a) as a single power of 7 (b) as a single power of 9.

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  1. Work out the value of , giving your answer as a whole number.

  2. Amy writes that . Explain what Amy has done wrong.

  3. Work out the value of . Give your answer in its simplest form.

  4. Work out the value of (a) (b) (c)

  5. Simplify fully (a) (b) (c)

    1. Explain why
    2. Hence, or otherwise, solve the equation

  6. If and Express in terms of x and/or y (a) (b) (c)