Bece Model Questions Vol1 2021 Mathematics Question 9

Practice essay / theory question 9 from the 2021 Bece Model Questions Vol1 Mathematics examination. This question covers Indices .

Bece Model Questions Vol1 2021 Mathematics Essay / Theory

Topic: Indices

Question 9 BECE_MODEL_QUESTIONS_VOL1 • 2021 • MATHEMATICS • essay

Consider the algebraic expression E = \frac{(2x^{3}y^{-2})^{2}\;\times\;(x^{-1}y^{5})}{4x^{k}y^{m}}. It is known that after simplifying, the value of E is exactly 1 for all non‑zero real numbers x and y. Answer the following:

Question Parts

( a )

Using the laws of indices, simplify the numerator of E and write the simplified form of E in terms of x, y, k and m.

( b )

Since E = 1 for all admissible x and y, determine the integer values of k and m.

( c )

Verify the result by evaluating the original (unsimplified) expression for x = 2 and y = 3 using the values of k and m you have found. Show that the value obtained is indeed 1.

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About This Question

This is Bece Model Questions Vol1 2021 Mathematics Question 9. It is one of the essay questions from the 2021 Bece Model Questions Vol1 Mathematics examination.

The question covers Indices .

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