Question

Answer to my question and I will donate 50 points ​

Answer 1

$\mathfrak{\large{\underline{\underline{Answer :}}}}$

$\frac{{5}^{3}}{{4}^{3}}$

$\mathfrak{\large{\underline{\underline{Explanation :}}}}$

${(\frac{64}{125})}^{ - \frac{2}{3} } + \frac{1}{{ (\frac{256}{625})}^{ \frac{1}{4} } }$

1

$= {(\frac{ {4}^{3} }{ {5}^{3} })}^{ - \frac{2}{3} } + \frac{1}{ { (\frac{ {4}^{4} }{ {5}^{4} } )}^{ \frac{1}{4} } }$

2

$= {({ (\frac{4}{5})}^{3} )}^{ - \frac{2}{3} } + \frac{1}{{ {( (\frac{4}{5})}^{4})}^{ \frac{1}{4} } }$

3

$= {( \frac{4}{5})}^{3 \times - \frac{2}{3} } + \frac{1}{{( \frac{4}{5})}^{4 \times \frac{1}{4} } }$

4

$= {(\frac{4}{5})}^{ - 2} + \frac{1}{ \frac{4}{5} }$

5

$= { (\frac{5}{4})}^{2} + {(\frac{5}{4})}^{1}$

6

$= {(\frac{5}{4})}^{2 + 1}$

7

$= { (\frac{5}{4})}^{3}$

8

$= \frac{ {5}^{3} }{ {4}^{3} }$

For more information refer to the attachment

$\textbf{\large{\underline{\underline{Additional information :}}}}$

Refer to the attachment

Answer 2

Answer:

5 pts\

Step-by-step explanation: