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SMO 2016 Senior Round 1 Question 2

SMO · SMO 2016 Senior Round 1

Question 2

Simplify $$\frac{9^{8/3}-9^{5/3}}{4^{8/3}-4^{2/3}}.$$
  1. $\frac{3^{7/3}5}{2^{5/3}}$
  2. $3^{7/3}2^{5/3}$
  3. $\frac{3^{5/3}2^{5/3}}5$
  4. $\frac{3^{7/3}2^{5/3}}5$
  5. $\frac{3^{4/3}2^{1/3}}5$