Question

Tick (✓) the correct answer
${\left(1\frac{3}{10}\right)}^3=?$
(a) $1\frac{27}{1000}$
(b) $2\frac{27}{1000}$
(c) $2\frac{197}{1000}$
(d) none of these

Answer 1

(c) $2\frac{197}{1000}$
$$\begin{gathered} {\left(1\frac{3}{10}\right)}^3={\left({\displaystyle \frac{13}{10}}\right)}^3=\frac{{\left(13\right)}^3}{{\left(10\right)}^3}=\frac{\left(13\times 13\times 13\right)}{\left(10\times 10\times 10\right)} \\ {\left(1\frac{3}{10}\right)}^3=\frac{2197}{1000}=2\frac{197}{1000} \end{gathered}$$

∴ ${\left(1\frac{3}{10}\right)}^3$ = $2\frac{197}{1000}$