Question

Find the cube of \[- \frac{13}{8}\] .

 

Answer 1

\[\because\] \[\left( - \frac{m}{n} \right)^3 = - \frac{m^3}{n^3}\]

\[\therefore\] \[\left( - \frac{13}{8} \right)^3 = - \left( \frac{13}{8} \right)^3 = - $\left( \frac{{13}^3}{8^3} \right)$ = - $\left( \frac{13 \times 13 \times 13}{8 \times 8 \times 8} \right)$ = - \frac{2197}{512}\]