Question

Calculate the value of the following :

${\left(\frac{5}{3}\right)}^3$

Answer 1

Calculating the exponent

The expression is ${\left(\frac{5}{3}\right)}^3$

$$\begin{gathered} =\left(\frac{5}{3}\right)\times \left(\frac{5}{3}\right)\times \left(\frac{5}{3}\right) \\ =\left(\frac{125}{27}\right) \end{gathered}$$

Hence, ${\left(\frac{5}{3}\right)}^3=$ $\left(\frac{125}{27}\right)$.