Simplify \(\frac{3x^3}{(3x)^3}\)
MATHEMATICS
WAEC 2007
Simplify \(\frac{3x^3}{(3x)^3}\)
- A. 1
- B. \(\frac{1}{3}\)
- C. \(\frac{1}{9}\)
- D. \(\frac{1}{27}\)
Correct Answer: C. \(\frac{1}{9}\)
Explanation
\(\frac{3x^3}{(3x)^3}\) = \(\frac{3 \times x^3}{3^3 \times x^3}\)
= \(\frac{3 \times x^3}{3 \times 3 \times 3 \times x^3}\)
= \(\frac{1}{3^2}\)
= \(\frac{1}{9}\)
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