Question

pls tell the anmswer

Answer 1

Answer:

${3}^{ \frac{ - 7}{6} }$

Step-by-step explanation:

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

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

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

$\frac{ {3}^{ - 1} }{ {3}^{ \frac{1}{6} }} \: the \: {3}^{ \frac{ - 2}{3} } \: gets \: canceled.$

${3}^{ - 1} \times {3}^{ \frac{ - 1}{6} }$

${3}^{ - 1 + ( \frac{ - 1}{6}) }$

${3}^{ \frac{ - 1}{1} - \frac{1}{6} }$

${3}^{ \frac{ - 6}{6} - \frac{1}{6} }$

${3}^{ \frac{ - 7}{6} }$

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