a*((c*((b*(a^(-2))^(1/3))*(b^(-2))^(1/3)))*(c^(-2))^(1/3)) – InterviewSolution

InterviewSolution

1.

a((c((b(a^(-2))^(1/3))(b^(-2))^(1/3)))*(c^(-2))^(1/3))

Answer»

(a)^-2/3*b * (b)^-2/3*c * (c)^-2/3*a

= (a)^[-2/3 + 1] * (b)^[-2/3 + 1] * (c)^[-2/3 + 1]

= a^1/3 * b^1/3 * c^1/3

= (abc)^1/3

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