Question

Simplify: 9^1/3*27^-1/2/3^1/6*3^-2

Answer 1

Step-by-step explanation:

9^1/3*27^-1/2/3^1/6*3^-2

= (3^2/3)*(3^-3/2) / (3^1/6)*(3^-2)

= 3^(2/3-3/2+2-1/6)

= 3^{-5/6-1/6+2}

= 3^(1)

= 3