Question

simplify equal to 9 power 1 by 3 into 27 power 1 by 2 by 3 power 1 by 6 into 3 power minus 2 by 3

Answer 1

9/3×27/2÷3/6×1/27
=3×27/2÷1/2×1/2
=3×27/2×2×1/27
=3 and

.... I hope it will help u

Answer 2

Answer:

$\frac{ 9^{\frac{1}{3}}\times (27)^{\frac{1}{2}}}{3^{\frac{1}{6}}\times 3^{\frac{-2}{3}}}=\frac{1}{3^\frac{1}{3}}$

Step-by-step explanation:

$Given \:\frac{ 9^{\frac{1}{3}}\times (27)^{\frac{1}{2}}}{3^{\frac{1}{6}}\times 3^{\frac{-2}{3}}}$

$=\frac{ (3^{2})^{\frac{1}{3}}\times (3^{3})^{\frac{1}{2}}}{3^{\frac{1}{6}}\times 3^{\frac{-2}{3}}}$

$=\frac{ (3)^{\frac{2}{3}}\times (3)^{\frac{3}{2}}}{3^{\frac{1}{6}}\times 3^{\frac{-2}{3}}}$

$=3^{\frac{2}{3}+\frac{3}{2}-\frac{1}{6}+\frac{2}{3}}$

$=3^{\frac{4-9-1+4}{6}}$

$=3^{\frac{-2}{6}}$

$=3^{\frac{-1}{3}}$

$=\frac{1}{3^\frac{1}{3}}$

Therefore,

$\frac{ 9^{\frac{1}{3}}\times (27)^{\frac{1}{2}}}{3^{\frac{1}{6}}\times 3^{\frac{-2}{3}}}=\frac{1}{3^\frac{1}{3}}$

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