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

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Answer 1 · 2017-03-30T02:20:24

See the entire solution process below:

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:

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

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