Question

How do you simplify `1/36^(-1/2)`?

Answer 1

See the entire solution process below:

Explanation:

First, use this rule of exponents to rewrite this expression:

`1/x^color(red)(a) = x^color(red)(-a)`

`1/36^color(red)(-1/2) = 36^color(red)(- -1/2) = 36^color(red)(1/2)`

Next, we can rewrite this in radical form as (remember, the square root of a number produces a positive and negative result:

`36^color(red)(1/2) = +-sqrt(36) = +-6`