Question

28. Simplify:(81÷16)×-3/4×(25÷9)×-3/2​

Answer 1

$\red{\tt{(81÷16)×-3/4×(25÷9)×-3/2}}$

$\red{\bold{\frac{81}{16} \times \frac{ - 3}{4} \times \frac{25}{9} \times \frac{ - 3}{2}}}$

$\red{\bold{\frac{27}{16} \times \frac{ - 1}{4} \times \frac{25}{1} \times \frac{ - 3}{2} }}$

$\red{\bold{\frac{2025}{128}}}$

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Answer 2

Step-by-step explanation:

$Hey friend, \\ \\ </p><p>Here \: \: is \: \: the \: \: answer \: \: you \: were \: looking \: \: for: \\ \\ </p><p>\begin{gathered} {( \frac{81}{16} )}^{ - \frac{3}{4} } \times {( \frac{25}{9} )}^{ - \frac{3}{2} } \\ \\ = {( \frac{ {3}^{4} }{ {2}^{4} } })^{ - \frac{3}{4} } \times {( \frac{ {5}^{2} }{ {3}^{2} }) }^{ - \frac{3}{2} } \\ \\ = {( \frac{3}{2}) }^{4 \times - \frac{3}{4} } \times {( \frac{5}{3} )}^{2 \times - \frac{3}{2} } \\ \\ = {( \frac{3}{2} )}^{ - 3} \times {( \frac{5}{3}) }^{ - 3} \\ \\ = {( \frac{2}{3}) }^{3} \times {( \frac{3}{5} )}^{3} \\ \\ = \frac{2 \times 2 \times 2}{3 \times 3 \times 3} \times \frac{3 \times 3 \times 3}{5 \times 5 \times 5} \\ \\ = \frac{2 \times 2 \times 2}{5 \times 5 \times 5} \\ \\ = \frac{8}{125} \end{gathered} \\ \\ </p><p>Hope \: \: this \: \: helps!!!$