Bece Model Questions Vol1 2017 Mathematics Question 9

Practice essay / theory question 9 from the 2017 Bece Model Questions Vol1 Mathematics examination. This question covers Indices, Simultaneous equations, Factorisation .

Bece Model Questions Vol1 2017 Mathematics Essay / Theory
Topics: Indices Simultaneous equations Factorisation
Question 9 BECE_MODEL_QUESTIONS_VOL1 • 2017 • MATHEMATICS • essay

Two positive integers \(a\) and \(b\) satisfy the simultaneous conditions \[a^{2}\,b = 2592 \qquad\text{and}\qquad a\,b^{2} = 3888.\] Using the laws of indices, determine the values of \(a\) and \(b\). Then, using those values, find the numerical value of \(a^{3} b^{3}\).

Question Parts

( a )
Find the values of \(a\) and \(b\).
( b )
Using the values of \(a\) and \(b\) obtained in part (a), calculate \(a^{3} b^{3}\).

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About This Question

This is Bece Model Questions Vol1 2017 Mathematics Question 9. It is one of the essay questions from the 2017 Bece Model Questions Vol1 Mathematics examination.

The question covers Indices, Simultaneous equations, Factorisation .

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