NumberStudy Notes

Worked Example 1: Evaluating Powers

Part of Powers & Roots — GCSE Mathematics

This study notes covers Worked Example 1: Evaluating Powers within Powers & Roots for GCSE Mathematics. Revise Powers & Roots in Number for GCSE Mathematics with 15 exam-style questions and 22 flashcards. This is a high-frequency topic, so it is worth revising until the explanation feels precise and repeatable. It is section 7 of 13 in this topic. Use this study notes to connect the idea to the wider topic before moving on to questions and flashcards.

Topic position

Section 7 of 13

Practice

15 questions

Recall

22 flashcards

Worked Example 1: Evaluating Powers

Calculate: 3⁴

Solution

3⁴ means 3 × 3 × 3 × 3

= 9 × 3 × 3

= 27 × 3

= 81

Keep building this topic

Read this section alongside the surrounding pages in Powers & Roots. That gives you the full topic sequence instead of a single isolated revision point.

Visual Understanding Worked Example 2: Finding Square Roots The Power of Powers Understanding Powers and Roots

Practice Questions for Powers & Roots

What is the value of 2⁻³?

A. -8
B. -6
C. ⅛
D. ⅓

1 markfoundation

Explain why x⁻¹ = 1/x

2 markshigher

Quick Recall Flashcards

Powers of 10

10¹ = 10 10² = 100 10³ = 1,000 10⁴ = 10,000 10⁵ = 100,000 10⁶ = 1,000,000 Pattern: n zeros after 1

Cubes: 1³ to 5³

1³ = 1 2³ = 8 3³ = 27 4³ = 64 5³ = 125

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Visual Understanding

Worked Example 2: Finding Square Roots