Algebra

Simplify the expression. Assume that all variables represent positive numbers. Write your answer without using negative exponents.

(343x^-6y/8y^-8x^6)^-2/3

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  1. (343x^-6y/8y^-8x^6)^-2/3
    = (8y^-8x^6/343x^-6y)^(2/3)
    = (8/343)^(2/3) (x^6/x^-6)^(2/3) (y^-8/y)^(2/3)
    = (2/7)^2 (x^12)^(2/3) (y^-9)^(2/3)
    = 4/49 x^8/y^6

    or

    4x^8 / 49y^6

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