WAEC SSCE - General Mathematics - 2007 (Objective)

Question 1 Report

Simplify$\frac{3x^{3}}{(3x)^{3}}$

$\frac{1}{3}$

$\frac{1}{9}$ Correct answer

$\frac{1}{27}$

Answer Details

To simplify the expression, we need to first expand the denominator of the fraction, which is $(3x)^3$. This can be written as $3^3 x^3$ or $27x^3$. Substituting this in the original fraction gives: $$\frac{3x^3}{(3x)^3} = \frac{3x^3}{27x^3} = \frac{1}{9}$$ Therefore, the simplified form of the expression is $\frac{1}{9}$. Hence, the correct option is $\frac{1}{9}$.






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