Math Problem Solver

Simplified:

$$\frac{6 d}{p} {\left( \frac{y d}{5 {p}^{5}} \right)}^{4} = \frac{6 d^{5} y^{4}}{625 p^{21}}$$

$$\begin{aligned}\frac{6 d \left(\frac{y d}{5 p^{5}}\right)^{4}}{p}&=\frac{6 y^{4} \left(\frac{1}{5 p^{5}}\right)^{4} d^{5}}{p}\\&=\frac{6 y^{4} d^{5}}{p 625 p^{20}}\\&=\frac{6 y^{4} d^{5}}{625 p^{21}}\\&=\frac{6 d^{5} y^{4}}{625 p^{21}}\end{aligned}$$