Regina M.
asked • 12/04/139^1/4 / 9^3/4 solve
This problem has become a thorn in my backside, I need help in solving it and explaining it.
Thank you
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1 Expert Answer
Robert J. answered • 12/04/13
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Certified High School AP Calculus and Physics Teacher
9^1/4 / 9^3/4
= 1/9^(3/4-1/4)
= 1/9^(2/4)
= 1/9^(1/2)
= 1/3 <==Answer
Regina M.
so you take the 9's and turn into 1/9 for both 9's?
and subtract, so how would you write that in √ ? √3?
Thank you so much for your help
God Bless!
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12/04/13
Steve S.
> turn into 1/9 for both 9's?
I think there is some confusion here.
a^m / a^n = a^(m-n); e.g., a/a^2 = 1/a = a^(1-2) = a^(-1)
So 9^(1/4)/9^(3/4) = 9^(1/4 - 3/4) = 9^(-2/4) = (9^(1/2))^(-1) = 1/sqrt(9) = 1/3.
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12/05/13
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Regina M.
12/04/13