Question

Show your work please!​

Answer 1

`((1)/(4))^{(-3)/(2)}` = 8

Explanation:

The given expression is :

`((1)/(4))^{(-3)/(2)}`

We know that,

`(1)/(x)=x^(-1)`

So,

`((1)/(4))^{(-3)/(2)}=((1)/(2^2))^{(-3)/(2)}\\\\=(2^(-2))^{(-3)/(2)}\\\\=(2^(-1))^(-3)\\\\=2^3\\\\=8`

So, the value of the given expression is 8.