Question

Solve: 9^-1/3 * 27^-1/2 ÷ 3^1/6 * 3^-2/3

Answer 1

Answer:

3/4

Step-by-step explanation:

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

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

(((((3*27^1)/2)/(3^-1))/6)*3^-2)/3

(((((3*27)/2)/(3^-1))/6)*3^-2)/3

((((81/2)/(3^-1))/6)*3^-2)/3  

(((81/2/(3^-1))/6)*3^-2)/3

(((81/2/(1/3))/6)*3^-2)/3

(((81/2/1/3)/6)*3^-2)/3

((243/2/6)*3^-2)/3

(81/4*3^-2)/3

(1/9*81/4)/3

9/4/3

3/4