Solution: Simplify: {〖x^(2/3) [x^(-1/3) y^(-1/2) (x^2 y^(-2) )^(-2/3) ]〗^(1/2) }^6

Simplify: {〖x^(2/3) [x^(-1/3) y^(-1/2) (x^2 y^(-2) )^(-2/3) ]〗^(1/2) }^6

Simplify: {〖x^(2/3) [x^(-1/3) y^(-1/2) (x^2 y^(-2) )^(-2/3) ]〗^(1/2) }^6

Problem Statement: ECE Board April 1991

Simplify: {〖x^(2/3) [x^(-1/3) y^(-1/2) (x^2 y^(-2) )^(-2/3) ]〗^(1/2) }^6
  • A. y^(5/2)/x
  • B. y^(3/2)/x
  • C. y^(5/2)/x^2
  • D. y^(3/2)/x^2

Problem Answer:

The simplest form of the algebraic expression is y^(5/2)/x .

Solution:

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