Mathematics (9-1) - 0980 CIE

Indices I

Bayani Gaba-gaba

Indices are mathematical shorthand for repeated multiplication, and the rules of indices let you combine powers without writing them out in full. They make light work of expressions that would otherwise be huge, and they are the foundation of standard form and much of the algebra ahead.

In this lesson you will use positive, zero and negative indices, and apply the laws of indices to multiply, divide and raise powers. These few rules, once secure, turn complicated-looking expressions into quick one-line simplifications.

Manufura

Understand and use indices (positive, zero and negative integers).
Understand and use the rules of indices.
Understand and use indices (positive, zero, negative, and fractional). (Extended only)

Takardar Darasi

Writing \(2 \times 2 \times 2 \times 2 \times 2\) as \(2^5\) is more than neat: it lets you combine powers using simple rules. Those rules reappear in standard form, surds and algebraic manipulation, so they earn their keep many times over.

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Nazarin Darasi

Barka da kammala darasi akan Indices I. Yanzu da kuka bincika mahimman raayoyi da raayoyi, lokaci yayi da zaku gwada ilimin ku. Wannan sashe yana ba da ayyuka iri-iri Tambayoyin da aka tsara don ƙarfafa fahimtar ku da kuma taimaka muku auna fahimtar ku game da kayan.

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