Question

In the following exercise, simplify$\frac{4^3-4^2}{{\left({\displaystyle \frac{4}{5}}\right)}^2}$

Short answer

The simplified value is$75$

Step-by-step solution

Step 1, Given the information 

The expression number is $\frac{4^3-4^2}{{\left({\displaystyle \frac{4}{5}}\right)}^2}$

Step 2. Simplification

Here,$$\begin{gathered} \frac{4^3-4^2}{{\left({\displaystyle \frac{4}{5}}\right)}^2} \\ =\frac{64-16}{{\displaystyle \frac{16}{25}}} \\ =\frac{48*25}{16} \\ =\frac{3*25}{1} \\ =75 \end{gathered}$$

Step 3. Conclusion

Hence, the simplified value is$75$