GCSE Mathematics · key term

Perfect power

Definition

An integer that can be written as $a^n$ , where $a$ is an integer and $n$ is an integer greater than $1$ ; for example, $64=2^6=4^3=8^2$ .

Used by Edexcel

Specification N6 · Paper 1, Paper 2, Paper 3

When a number is not a perfect power, place it between two nearby perfect powers.
Revise: Powers and Roots

1
When estimating a root, first give a justified interval using neighbouring perfect powers. This provides a quick check on any decimal estimate.

Create a free account to read GCSE Mathematics revision notes for your exam board and track your progress.

GCSE Mathematics · key term

An integer that can be written as $a^n$ , where $a$ is an integer and $n$ is an integer greater than $1$ ; for example, $64=2^6=4^3=8^2$ .

Used by Edexcel

Specification N6 · Paper 1, Paper 2, Paper 3

When a number is not a perfect power, place it between two nearby perfect powers.
Revise: Powers and Roots

1
When estimating a root, first give a justified interval using neighbouring perfect powers. This provides a quick check on any decimal estimate.

Create a free account to read GCSE Mathematics revision notes for your exam board and track your progress.