How to raise a fraction to a fractional exponent? I am trying to simplify this but I'm not sure how

rockandriot0odjn

rockandriot0odjn

Answered question

2022-05-17

How to raise a fraction to a fractional exponent?
I am trying to simplify this but I'm not sure how to approach it.
( 1 9 ) 3 2

Answer & Explanation

Layne Bailey

Layne Bailey

Beginner2022-05-18Added 16 answers

Write 1 9 = 3 2
Then
( 1 9 ) 3 2 = 3 2 3 2 = 3 3 = 1 3 3 = 1 27
enclinesbnnbk

enclinesbnnbk

Beginner2022-05-19Added 5 answers

In general, if a > 0, the following will hold:
a p q = ( a q ) p .
a p q = ( a q ) p .
In your case:
( 1 9 ) 3 2 = ( 1 9 2 ) 3 = ( 1 3 ) 3 = 1 27 .
What about a < 0? Well, if the power is defined, the above will hold.

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