1.

(64)^-1/6×(216)-^1/3×(81)^1/4÷(512)^-1/3×(16)^1/4×(9)^-1/2​

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ANSWER:

3

Step-by-step EXPLANATION:

\frac{ {64}^{ - \frac{1}{6} } \times {216}^{ - \frac{1}{3} } \times {81}^{ \frac{1}{4} } }{ {512}^{ - \frac{1}{3} } \times {16}^{ \frac{1}{4} } \times {9}^{ - \frac{1}{2} } } \\ = \frac{ {2}^{ - \frac{6}{6} } \times {6}^{ - \frac{3}{3} } \times {3}^{ \frac{4}{4} } }{ {2}^{ - \frac{9}{3} } \times {2}^{ \frac{4}{4} } \times {3}^{ - \frac{2}{2} } } \\ = \frac{ {2}^{ - 1} \times {6}^{ - 1} \times {3}^{1} }{ {2}^{ - 3} \times {2}^{1} \times {3}^{ - 1} } \\ = {2}^{ - 1} \times {2}^{ - 1} \times {3}^{ - 1} \times {3}^{1} \times {2}^{3} \times {2}^{ - 1} \times {3}^{1} \\ = {2}^{ - 1 - 1 + 3 - 1} \times {3}^{ - 1 + 1 + 1} \\ = {2}^{0} \times {3}^{1} \\ = 1 \times 3 \\ = 3

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