Asked by Angel
Simplify the expression. Assume that all variables represent positive numbers. Write your answer without using negative exponents.
(343x^-6y/8y^-8x^6)^-2/3
(343x^-6y/8y^-8x^6)^-2/3
Answers
Answered by
Steve
(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
= (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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