Question

Simplify (36/81) raised to the power -1/2

Answer 1

Explanation:

Hey, there!!

I hope you mean,

`( - 1)/(2) \: means \: \sqrt{}`

and

`36 = {6}^(2) \: and \: 81 = {9}^(2)`

`so \: \: \sqrt{ \frac{ {6}^(2) }{ {9}^(2) } }`

`or \: ( { \frac{ {6}^(2) }{ {9}^(2) }) }^{ ( - 1)/(2) }`

so, the answer is 6/9 or, 2/3.

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