Exponential form to radical form

label Algebra
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Simplify. Express all exponents in positive form.

(X^3/4 Y^-1/4)^8

sorry if this is hard to read but 8 is an exponent. 3/4 and -1/4 are fractions and exponents too. X and Y are multiplied. Thanks!

May 27th, 2015

((X^(3/4))Y^(1/4))^8

since you are multiplying and not adding all you have to do is multiply your exponents 

(x^(3/4)^8 = 3/4*8=24/4=6   ...  x^6

y^1/4   ^8 = 8*1/4=8/4=2  .... y^2

x^6y^2   <----------

is your answer, however, you can only do this with multiplication and division if you are adding you must expand then simplify (x+1)^2 does not equal x^2+1 it is x^2+2x+1 

May 27th, 2015

But is this in radical form? I thought radicals had square roots.

May 27th, 2015

sorry i forgot my negative

x^6y^-2

x^6 / y^2

its only radical if its a fraction as an exponent such as x^1/4 is 4(sqrt(x))

the 4 is suppose to be small in the top left of the sqrt

May 27th, 2015

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May 27th, 2015
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May 27th, 2015
Sep 19th, 2017
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