A quantity Q is formulated as X⁻²Y^3/2Z^-2/5. X, Y and Z are independent parameters which have fractional errors of 0.1, 0.2 and 0.5 respectively in measurement. The maximum fractional error of Q is

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(4) 0.7. Idea: for a product of powers the fractional errors add, each weighted by the magnitude of its exponent; the sign of the exponent does not matter. (Δ Q)/Q=2(Δ X)/X+3/2(Δ Y)/Y+2/5(Δ Z)/Z =2(0.1)+3/2(0.2)+2/5(0.5) =0.2+0.3+0.2=0.7.

A quantity Q is formulated as X⁻²Y^3/2Z^-2/5. X, Y and Z are independent parameters which have fractional errors of 0.1, 0.2 and 0.5 respectively in measurement. The maximum fractional error of Q is

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