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