Melaka Trial 2025 Add Maths Paper 1, Question 3Indices, Surds & Logarithms

Solved on video in English · Form 4, Indices, Surds & Logarithms · 3:57 video

The question

(a)

(a) Simplify the following algebraic expression: (7²ⁿ × 7ᵐ) / 7ⁿ.

(b)

(b) Given log₂ b = x and log₂ c = y, express log₄(8b/c) in terms of x and y.

Step 1

Multiply the powers in the numerator by adding indices: 7²ⁿ × 7ᵐ = 7²n + m).

Why this step

7²ⁿ is 2n sevens multiplied and 7ᵐ is m sevens, so together we have 2n + m sevens. That's why indices add, not multiply.

2 more steps, each with the reason for it, in the full solution

Final answer

7^(m + n)

Where students lose marks

Watch out: add the indices when multiplying, and remember to subtract n when dividing by 7ⁿ.

4 more steps, each with the reason for it, in the full solution

Final answer

(3 + x − y)/2

Where students lose marks

Watch out: convert every term to base 2, and remember log₂ 8 = 3 and log₂ 4 = 2.

Watch every step of this question solved on video (3:57), with the reason behind each step and a box that checks your own answer.

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