Question

Evaluate :
(i) ${\left(\frac{4}{7}\right)}^3$
(ii) ${\left(\frac{10}{11}\right)}^3$
(iii) ${\left(\frac{1}{15}\right)}^3$
(iv) ${\left(1\frac{3}{10}\right)}^3$

Answer 1

(i) ${\left(\frac{4}{7}\right)}^3=\frac{4}{7}\times \frac{4}{7}\times \frac{4}{7}=\frac{4\times 4\times 4}{7\times 7\times 7}=\frac{64}{343}$
(ii) ${\left(\frac{10}{11}\right)}^3=\frac{10}{11}\times \frac{10}{11}\times \frac{10}{11}=\frac{10\times 10\times 10}{11\times 11\times 11}=\frac{1000}{1331}$
(iii) ${\left(\frac{1}{15}\right)}^3=\frac{1}{15}\times \frac{1}{15}\times \frac{1}{15}=\frac{1\times 1\times 1}{15\times 15\times 15}=\frac{1}{3375}$
(iv) ${\left(1\frac{3}{10}\right)}^3={\left(\frac{13}{10}\right)}^3=\frac{13}{10}\times \frac{13}{10}\times \frac{13}{10}\times \frac{13}{10}=\frac{13\times 13\times 13}{10\times 10\times 10}=\frac{2197}{1000}=2\frac{197}{1000}$