Question

2*27^1/3*216^-2/3 find value

Answer 1

2×3^3×1/3 ×6^3×-2/3
6×1/36
1/6
is your answer

Answer 2

$2 \times {27}^{ \frac{1}{3} } \times {216}^{ - \frac{2}{3} } \\ \\ = 2 \times {( {3}^{3}) }^{ \frac{1}{3} } \times \frac{1}{ {216}^{ \frac{2}{3} } } \\ \\ = 2 \times {3}^{3 \times \frac{1}{3} } \times \frac{1}{ {6}^{3 \times \frac{2}{3} } } \\ \\ = 2 \times 3 \times \frac{1}{36} \\ \\ = \frac{6}{36} \\ \\ = 1/6$

Hope this helps ☺