Index Laws With Numerical Expressions (9)

Use index notation with numbers to establish the index laws with positive integral indices and the zero index (ACMNA182)

LO: To investigate index notation and use index laws to solve problems involving indices

  • What indices are
  • What index notation is
  • The index laws
  • What is a numerical expression


  • That index laws can be used to simplify numerical expressions.


  • I can apply index laws to numerical expressions with integer indices.

Examples (Visual Representations)

Index Laws

Numbers that have the same base number but different indices when multiplied, you just add the indices.

Numbers that have the same base number but different indices when divided, you just subtract the indices.

Zero Index Law

Any number with an index of 0 always equals 1.

Index Laws Videos

Practice Questions

My Maths 9

pg. 61 Exercise 2B Q. 2-3, 5-6, 9, 11, 17

pg. 67 Exercise 2C Q. 1-7

Next Lesson – Scientific Notation