Question

Pls solve this plèeeeeeeeease

Answer 1

`(5^7)/(2) = (78125)/(2)`

Explanation:

`\left( (4)/(5) \right)^2 * 5^4 * \left( (2)/(5) \right)^(-2) / \left( (5)/(2) \right)^(-3) =`

`= (4^2)/(5^2) * 5^4 * (5^2)/(2^2) * (5^3)/(2^3)`

`= ((2^2)^2)/(5^2) * 5^4 * (5^2)/(2^2) * (5^3)/(2^3)`

`= (2^4)/(5^2) * 5^4 * (5^2)/(2^2) * (5^3)/(2^3)`

`= 2^(4 - 2 - 3) * 5^(- 2 + 4 + 2 + 3)`

`= 2^(-1) * 5^(7)`

`= (5^7)/(2)`

`= (78125)/(2)`