Simplify \;36 a³ b² x/27 a b³ y.

Correct Answer is : 4a2x3by\;4 a² x/3 b y3by4a2x

Correct Answer is : 4a2x3by\;4 a² x/3 b y3by4a2x

Test Index

BECE Mathematics 2013 Paper

Question : 9

Total: 40

Simplify

\;\frac{36 a^3 b^2 x}{27 a b^3 y}

Solution:

Concept:

When dividing algebraic terms, cancel common factors and apply the rule

a^{m} \div a^{n} = a^{m-n}

for the variables.

Explanation:

Simplify the coefficient and each variable separately.

The coefficient

36

and

27

have a common factor

9

, so

\frac{36}{27}=\frac{4}{3}

For

a

\frac{a^3}{a}=a^{3-1}=a^2

For

b

\frac{b^2}{b^3}=b^{2-3}=b^{-1}=\frac{1}{b}

The variables

x

and

y

are not common, so keep them as

\frac{x}{y}

Combine all parts:

\frac{4}{3} \times a^2 \times \frac{1}{b} \times \frac{x}{y} = \frac{4 a^2 x}{3 b y}

Thus, the simplified expression is

\frac{4 a^2 x}{3 b y}

Answer:

Option A:

\frac{4 a^2 x}{3 b y}

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