1.

((8*a^3)/((27*x^(-3))))^(2/3)*((64*a^3)/((27*x^(-3))))^((-2)/3)

Answer»

(8a^3 ÷ 27x^-3)^2/3 * (64a^3 ÷ 27x^-3)^-2/3

= (2a * 3x)^[3*2/3] * (4a * 3x)^[3*-2/3]

= (6ax)^2 * (12ax)^-2

= 6a^2x^2/ 12a^2x^2

= 1/2



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