Question

3. 9^-3/2 + 27^-1 / 81^-3/4 + 27^-4/3

Answer 1

9^(-3/2) + 27^(-1) / (81^(-3/4) + 27^(-4/3))
= 3^(-3) + 3^(-3) / (3^(-3) + 3^(-4))
= 3^(-3).(1 + 1) / 3^(-3).(1 + 3^(-1))
= 2 / (1 + (1/3))
= 2 / (4/3)
= 2*(3/4)
= 3/2 atau 1,5