Question

(16/81)^-3/4×(49/9)^3/2÷(343/216)^2/3

Answer 1

Hope u like my process
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${( \frac{16}{81}) }^{ - \frac{3}{4} } \times {( \frac{49}{9} )}^{ \frac{3}{2} } \div {( \frac{343}{216} )}^{ \frac{2}{3} } \\ = {( \frac{ {2}^{4} }{ {3}^{4} } )}^{ - \frac{3}{4} } \times {( \frac{ {7}^{2} }{ {3}^{2} } )}^{ \frac{3}{2} } \div {( \frac{ {7}^{3} }{ {6}^{3} }) }^{ \frac{2}{3} } \\ = {( \frac{2}{3}) }^{ - 3} \times ( { \frac{7}{3} })^{3} \div {( \frac{7}{6}) }^{2} \\ = {( \frac{3}{2} )}^{3} \times {( \frac{7}{3}) }^{3} \times {( \frac{6}{7} )}^{2} \\ = \frac{ {3}^{3} }{ {2}^{3} } \times \frac{ {7}^{3} }{ {3}^{3} } \times \frac{ {3}^{2} \times {2}^{2} }{ {7}^{2} } \\ = 7 \times {3}^{2} \times \frac{1}{2} = \frac{63}{2} \\ = 31 \frac{1}{2}$
Hope this is ur required answer
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Answer 2

Answer:

$31 {}^{ \frac{1}{2} }$