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Maximum fractional error in a quantity of the form X^a Y^b Z^c with fractional errors 0.1, 0.2 and 0.5

The same question, asked 2 times: 11 Apr 2026 S2*, 12 May 2026 S2. Every wording below, oldest first.

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  1. Question 1

    11 Apr 2026 S2

    101
    A quantity P is related as X−2Y−3/2Z2/5X^{-2}Y^{-3/2}Z^{2/5} where X,Y,Z are independent parameters which have fractional errors of 0.1,0.20.1, 0.2 and 0.50.5 respectively in measurement. The maximum fractional error in P is

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  2. Question 2

    12 May 2026 S2

    101
    A quantity QQ is formulated X−2Y+32Z−25X^{-2}Y^{+\frac{3}{2}}Z^{-\frac{2}{5}}. X,YX, Y and ZZ are independent parameters which have fractional errors of 0.10.1, 0.20.2 and 0.50.5 respectively in measurement. The maximum fractional error of QQ is

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