Question

Calculate the value of the following :

${\left(\frac{12}{11}\right)}^3$

Answer 1

Given ,

The expression is ${\left(\frac{12}{11}\right)}^3$

$$\begin{gathered} =\frac{12}{11}\times \frac{12}{11}\times \frac{12}{11} \\ =\frac{1728}{1331} \end{gathered}$$

Hence, the required value is $\frac{1728}{1331}$