Junior Cycle · Number Theory
⏱ Tested in 2 exam questions since 2022
Lesson 4 of 5
JCHL Number Theory 4: Powers
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- A power means how many times you multiply the base by itself (2³ = 2×2×2 = 8)
- A square root is the power of one half; a cube root is the power of one third
- Same base, multiplying → ADD the powers; same base, dividing → SUBTRACT the powers
Formula used
aᵐ × aⁿ = aᵐ⁺ⁿ
aᵐ ÷ aⁿ = aᵐ⁻ⁿ
(aᵐ)ⁿ = aᵐⁿ
These work only when the base is the SAME.
On page 21 of the log tables — read it off, don’t memorise.Most recent exam questions
- 2023 Q9(c)
- 2022 Q7(a)(i)
- 2022 Q7(a)(ii)
- 2022 Q7(b)
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