Question

What is the value of A when we rewrite (32/5)^-2x as A^x​

Answer 1

Answer: A = (32/5)^-2

Explanation:

Answer 2

`((25)/(1024))^x`

Explanation:

The given expression is :

`((32)/(5))^(-2x)`

We need to rewrite it in the form of
`A^x`.

We know that,
`((1)/(x))^(-a)=x^a`

So,

`((32)/(5))^(-2x)=((5)/(32))^(2x)\\\\=((5^2)/(32^2))^x\\\\=((25)/(1024))^x`

So,
`A=(25)/(1024)`. Hence, this is the required solution.