Question

simplify ((-4/5)^-2)^2

Answer 1

Answer:

$\frac{625}{256}$

Step-by-step explanation:

$given\\=>((\frac{-4}{5} )^{-2} )^{2} \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ [(a^{n})^{m} =a^{n}^{m} ]\\\\\ =>(\frac{-4}{5})^{-4}\ \ \ \ => \frac{(-4)^{-4} }{(5)^{-4}} \ \ \ \ \ \ [a^{-n}=\frac{1}{a^{n}}]\\\\ => \frac{(5)^{4}}{(-4)^{4} } =>\frac{625}{256}\\\\((\frac{-4}{5} )^{-2} )^{2} =\frac{625}{256}$