Answer: The required simplified value of the given expression is 0.064.
Step-by-step explanation: We are given to simplify the following expression :
\(E=(0.4)^3~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)\)
To find the required value, we need to convert the decimal to fraction and then take the third power of that.
The simplification of expression (i) is as follows :
\(E\\\\\\=(0.4)^3\\\\\\=\left(\dfrac{4}{10}\right)^3\\\\\\=\dfrac{64}{1000}\\\\=0.064.\)
Thus, the required simplified value of the given expression is 0.064.
