Home » Evaluate (frac{(81)^{frac{3}{4}} – (27)^{frac{1}{3}}}{3 times 2^3})

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

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

  • A.
    27
  • B.
    1
  • C.
    (frac{1}{3})
  • D.
    (frac{1}{8})
Correct Answer: Option B
Explanation

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

= (frac{(3^{4})^{frac{3}{4}} – (3^{3})^{frac{1}{3}}}{3 times 2^{3}})

= (frac{3^{3} – 3^{1}}{24})

= (frac{27 – 3}{24} = 1)

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