Question

\frac { 27 ^ { \frac { - 2 } { 3 } } \times 81 ^ { \frac { 5 } { 4 } } } { ( \frac { 1 } { 3 } ) ^ { - 3 } }​

Answer 1

Answer:

${3}^{ - 27}$

Step-by-step explanation:

$\frac { 27 ^ { \frac { - 2 } { 3 } } \times 81 ^ { \frac { 5 } { 4 } } } { ( \frac { 1 } { 3 } ) ^ { - 3 } } = \frac{ \sqrt[3]{27} \times \times \sqrt[4]{81} }{ {27}^{2} \times {81}^{5} } \times {3}^{ - 3} \\ = \frac{3 \times 3}{ {3}^{6} \times {3}^{20} \times {3}^{3} } \\ = \frac{ {3}^{2} }{ {3}^{29} } = {3}^{ - 27}$