Mathematics

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.
    3
  • B.
    1
  • C.
    1/3
  • D.
    1/8
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}})}{3times 2^3}\=frac{3^3 – 3}{3 times 8}\=frac{27-3}{24}\=frac{24}{24}\=1)