Bece Model Questions Vol1 2025 Mathematics Question 9

Practice essay / theory question 9 from the 2025 Bece Model Questions Vol1 Mathematics examination. This question covers Indices, Exponent laws, Prime factorisation .

Bece Model Questions Vol1 2025 Mathematics Essay / Theory

Topics: Indices Exponent laws Prime factorisation

Question 9 BECE_MODEL_QUESTIONS_VOL1 • 2025 • MATHEMATICS • essay

Consider the equation \(\dfrac{2^{x}\, 3^{2y}}{6^{z}} = 12^{k}\), where \(x, y, z, k\) are positive integers. It is also given that \(x + y = 10\) and \(z = y - 2\).

Question Parts

( a )

Rewrite the left‑hand side of the equation in the form \(2^{A}\,3^{B}\).

( b )

Using the result from part (a) and the given relations, determine the values of \(x, y, z\) and \(k\).

Detailed Solution & Marking Scheme

Get the step-by-step solution, key points required by examiners and detailed marking guidance through the Edcrib AI Tutor.

Reveal Answer

About This Question

This is Bece Model Questions Vol1 2025 Mathematics Question 9. It is one of the essay questions from the 2025 Bece Model Questions Vol1 Mathematics examination.

The question covers Indices, Exponent laws, Prime factorisation .

View More Bece Model Questions Vol1 2025 Mathematics Questions More Bece Model Questions Vol1 Practice Questions Back to Questions

Master the Exam!

You've seen a preview, but there are thousands more questions plus AI tutor to break down complex solutions.

Unlock Full Access Available for Android & Windows

Chat with Support