Question

simplify: (9^1/3×27^-1/2)/(3^1/6×3^-2/3)

Answer 1

(3)^2×1/3×3^3×1/2÷3-1/6×3^1/3
3^2/3×3^3/2÷3-1/6×3^1/3
as base same we work on power
3^2/3+3/2÷3^-1/6+1/3
= 3^13/6÷3^1/6
=3^13/6-1/6
3^12 using x^n÷x^m=x^n-m

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