Solution: Simplify: ((x^2 y^3 z^(-2) )^(-3) (x^(-3) yz^3 )^(-1/2))/(xyz^(-3) )^(-5/2)

Simplify: ((x^2 y^3 z^(-2) )^(-3) (x^(-3) yz^3 )^(-1/2))/(xyz^(-3) )^(-5/2). How to simplify the algebraic expressions?

Simplify:  ((x^2 y^3 z^(-2) )^(-3) (x^(-3) yz^3 )^(-1/2))/(xyz^(-3) )^(-5/2)

Problem Statement: ECE Board April 1991

Simplify: ((x^2 y^3 z^(-2) )^(-3) (x^(-3) yz^3 )^(-1/2))/(xyz^(-3) )^(-5/2)
  • A. 1/(x^2 y^7 z^5 )
  • B. 1/(x^2 y^7 z^3 )
  • C. 1/(x^2 y^5 z^7 )
  • D. 1/(x^5 y^7 z^2 )

Problem Answer:

((x^2 y^3 z^(-2) )^(-3) (x^(-3) yz^3 )^(-1/2))/(xyz^(-3) )^(-5/2) is equal to 1/(x^2 y^7 z^3 ).

Solution:

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