Bece Model Questions Vol1 2018 Mathematics Question 9

Practice essay / theory question 9 from the 2018 Bece Model Questions Vol1 Mathematics examination. This question covers Indices .

Bece Model Questions Vol1 2018 Mathematics Essay / Theory

Topic: Indices

Question 9 BECE_MODEL_QUESTIONS_VOL1 • 2018 • MATHEMATICS • essay

Two positive integers \(a\) and \(b\) satisfy the simultaneous index equations \[ a^{2}\,b^{3}=2^{5}\,3^{4} \quad\text{and}\quad a\,b^{2}=2^{3}\,3^{2}. \] Using only the laws of indices, answer the following:

Question Parts

( a )

Determine the exact values of \(a\) and \(b\).

( b )

Using the values of \(a\) and \(b\) found in part (a), evaluate \[ \frac{a^{3} \; b^{5}}{(a\,b)^{2}} \] and express the result as a single power of \(2\) multiplied by a single power of \(3\).

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About This Question

This is Bece Model Questions Vol1 2018 Mathematics Question 9. It is one of the essay questions from the 2018 Bece Model Questions Vol1 Mathematics examination.

The question covers Indices .

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