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88% (00:53) correct
12% (00:47) wrong based on 25 sessions

\(x=1, y=3,z=5\)

Quantity A

Quantity B

\(x^{-1}yz^{-2}\)

\((\frac{xz}{y})^{-2}\)

A. Quantity A is greater. B. Quantity B is greater. C. The two quantities are equal D. The relationship cannot be determined from the information given.

I hope my reasoning is fine. Quantity A: (X)^-1 which is 1/1 then 1 Y = 3 And Z^-2 which gives us 1/25 We have (1)(3)/25 = 3/25

Quantity B (XZ/Y)^-2 (remember PEMDAS) So (5/3)^-2 Reciproqual to erase the minus. (3/5)^2 which gives us 9/25. We can compare them since they have the same denominator. Quantity B is greater !

A. Quantity A is greater. B. Quantity B is greater. C. The two quantities are equal D. The relationship cannot be determined from the information given.