Simplify each of the following and express each as a rational number:
${{(\frac{- 3}{4})}^{3} - {(\frac{- 5}{2})}^{3}} \times 4^{2}$

Open in App

Solution

${(\frac{- 3}{4})^{3} - (\frac{- 5}{2})^{3}} \times 4^{2} = {\frac{- 27}{64} + \frac{125}{8}} \times 16 = \frac{- 27 + 1000}{64} \times 16 = \frac{973}{4}$

Suggest Corrections

Similar questions

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

{(\frac{3}{2})}^{4} \times {(\frac{1}{5})}^{2}

{(\frac{- 2}{3})}^{5} \times {(\frac{- 3}{7})}^{3}

{(\frac{- 1}{2})}^{5} \times 2^{3} \times {(\frac{3}{5})}^{2}

{(\frac{2}{3})}^{2} \times {(\frac{- 3}{5})}^{3} \times {(\frac{7}{2})}^{2}

\{{(\frac{- 3}{4})}^{3} - {(\frac{- 5}{2})}^{3}\} \times 4^{2}

{(\frac{2}{3})}^{2} \times {(\frac{- 3}{5})}^{3} \times {(\frac{7}{2})}^{2}

{(\frac{- 2}{3})}^{5} \times {(\frac{- 3}{7})}^{3}

{(\frac{4}{9})}^{6} \times {(\frac{4}{9})}^{- 4}

{(\frac{- 7}{8})}^{- 3} \times {(\frac{- 7}{8})}^{2}

{(\frac{4}{3})}^{- 3} \times {(\frac{4}{3})}^{- 2}

Join BYJU'S Learning Program