# How do you simplify #(1/9)^(-3/2)#?

##### 1 Answer

Oct 28, 2017

Using the formula

#### Explanation:

We have, in our problem,

Rewrite the BASE

--------------- Observe that

Using the formula

Simplify by multiplying (-2) by (-3/2) in the Exponent. We get, 3.

Hence, our ( Expression 2 ) can be written as

Which gives us 27.

Hence, ( Expression 1 ) when simplified yields 27.