Overview
Powers and Roots

Powers

 Video Tutorial

Key Aspects:
  • Powers/Indices in Maths
  • Base and Exponent in Powers
  • Square and Cube Numbers
  • Powers in BIDMAS
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 Revision Cards

1) Introduction to Powers

Introduction to powers by showing the relationship that 3+3+3+3 equals 4 times 3, and 3 x 3 x 3 x 3 equals 3 to the power of 4.

2) Notation of Powers

Explanation of the base 3 and index 4 in 3^4 that it is pronounced "three to the power of four".

3) Properties of a Power

Explaining key characteristics of powers, e.g., 3^4 is not the same as 4^3, a^1 is a, and for a different to 0, a^0 is 1.

4) Square and Cube Numbers

Common indices chart showing square and cube numbers with examples. For example, square numbers 1, 4, 9, 16, and cube numbers 1, 8, 27, 64, 125.

5) Simplifying Expressions with Powers

Cartoon blue bird explaining how to simplify 4 × 3 × 3 × 4 × 4 to 4³ × 3² using commutative and associative laws.

6) Powers in BIDMAS

BIDMAS calculation rules with indices shown by comparing (2 × 5)^2 and 2 × 5^2, resulting in 100 and 50 respectively.

 ChatCat - Your Personal AI Maths Tutor

 Exercises

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