Question

Please answer the questions

Answer 1

1/18

Explanation:

`( {2}^( - 3) * {16}^{ (1)/(2) } ) / ( {81}^{ (3)/(4) } * {27}^{ - (1)/(3) } ) \\ \\ =( {2}^( - 3) * {2}^{ (4 * 1)/(2) } ) / ( {3}^{ (4 * 3)/(4) } * {3}^{ - (3 * 1)/(3) } ) \\ \\=( {2}^( - 3) * {2}^( 2) ) / ( {3}^( 3 ) * {3}^( - 1 ) ) \\ \\=( {2}^( - 3 + 2) ) / ( {3}^( 3 - 1 ) ) \\ \\ = {2}^( - 1) / {3}^(2) \\ \\ = (1)/(2) * (1)/(9) \\ \\ = (1)/(18)`