( x 4 y 4 ) 3 1 = x 4 ⋅ 3 1 y 4 ⋅ 3 1 = x 3 4 y 3 4 = x 1 3 1 y 1 3 1 = x 1 + 3 1 y 1 + 3 1 = x 1 x 3 1 y 1 y 3 1 = x 3 x ⋅ y 3 y = x y 3 x y
That would become
(XY)^4/3 .
The exponent is still rational. Sorry.
The expression ( x 4 y 4 ) 1/3 can be rewritten and simplified to x y 3 x y by applying properties of exponents. We distributed the exponent across the product of the terms and then simplified the fractional exponents. The final form expresses the solution without using rational exponents.
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