Question

How do you simplify `(4)^(-3/2)`?

Answer 1

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

Explanation:

To simplify this expression you use the following properties of powers:

1. `a^(b*c)=(a^b)^c`
2. `a^(1/b)=root(b)(a)`
3. `a^-1=1/a`

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