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Evaluate \(\frac{(81^{\frac{3}{4}}-27^{\frac{1}{3}})}{3 \times 2^3}\)

Mathematics
JAMB 2005

Evaluate \(\frac{(81^{\frac{3}{4}}-27^{\frac{1}{3}})}{3 \times 2^3}\)

  • A. 3
  • B. 1
  • C. \(\frac{1}{3}\)
  • D. \(\frac{1}{8}\)
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Correct Answer: Option B
Explanation

\(\frac{81^{\frac{3}{4}}-27^{\frac{1}{3}}}{3 \times 2^3}\)

= \(\frac{(3^{3-\frac{3}{4}}-3^{3-\frac{3}{4}})}{3\times 2^3}\)

= \(\frac{3^3 - 3}{3 \times 8}\)

= \(\frac{27-3}{24}\\=\frac{24}{24}\) =1

There is an explanation video available below.


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Explanation Video

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