This study notes covers Worked Example 3: Power of a Power within Index Laws for GCSE Mathematics. Revise Index Laws in Number for GCSE Mathematics with 14 exam-style questions and 22 flashcards. This topic shows up very often in GCSE exams, so students should be able to explain it clearly, not just recognise the term. It is section 9 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 9 of 13
Practice
14 questions
Recall
22 flashcards
Worked Example 3: Power of a Power
Simplify: (2³)⁴
Solution
Using (aᵐ)ⁿ = aᵐⁿ
Multiply the indices: 3 × 4 = 12
Answer: 2¹²
Check: (2³)⁴ = 8⁴ = 4096 and 2¹² = 4096 ✓