1.3.6

Multiplying Powers

Test yourself

Laws of Powers (Indices)

These are the laws that tell us what to do with powers. Powers are sometimes called indices.

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Multiplying powers

  • Add the powers when multiplying powers of the same number.
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Dividing powers

  • Subtract the powers when dividing powers of the same number.
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Power raised to another power

  • If an expression with a power is raised to another power, multiply the powers.
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Fractions

  • Apply a power to both top and bottom of a fraction.
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Negative powers

  • A negative power means 1 over the positive power.
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Roots

  • x1/2 means the square root of x.
  • x1/3 means the cube root of x.
  • All roots can be written as x1/n = n√x.

Jump to other topics

1Number

1.1Using Numbers

1.2Fractions, Decimals & Percentages

1.3Powers & Roots

1.4Accuracy

2Algebra

2.1Introduction to Algebra

2.2Manipulating Algebra

2.3Proofs & Functions

2.4Straight Line Graphs

2.5Common Graphs

2.6Transformations & Tangents

2.7Properties of Graphs

2.8Solving Equations

2.9Inequalities

2.10Sequences

3Ratio

4Geometry

4.1Introduction to Geometry

4.2Triangles & Quadrilaterals

4.3Transformations

4.4Circle Basics

4.5Circle Theorems

4.6Measurements & Units

4.7Calculating Area

4.8Triangle Formulae

4.93D Shapes

4.10Vectors

5Probability

6Statistics

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