Question

If x =1/6 - 5/3 of 2/-5 ÷ 4/9, then find the value of x^3 - 3


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Answer 1

Step-by-step explanation:

$x = (\frac{1}{6} - \frac{5}{3} \times ) (\frac{2}{ - 5} \div \frac{4}{9} ) \\ = ( \frac{1}{6} - \frac{10}{6} )( \frac { 2}{ - 5} \times \frac{9}{4} ) \\ = \frac{ - 9}{6} \times \frac{ - 9}{10} \\ = \frac{ - 3}{2} \times \frac{ - 9}{10} \\ = x = \frac{27}{20} \\ \\ {x}^{3} - 3 \\ = {( \frac{27}{20} )}^{3} - 3 \\ = \frac{19683}{8000} - 3 \\ = \frac{19683}{8000} - \frac{24000}{8000} \\ = \frac{- 4317}{8000}$