What is the role of power (index) of a measurable in the formula used

1.	What is the role of power (index) of a measurable in the formula used for calculations for a quantity in regard to the error in the quantity as determined in the given experiment?
Answer» The errors in the quantity become power times the error, i.e., if \(x= p^aq^b,\) then \(\frac{\Delta x}{x}\,=\,a\frac{\Delta p}{p}\,+\,b\frac{\Delta q}{q}\)

What is the role of power (index) of a measurable in the formula used for calculations for a quantity in regard to the error in the quantity as determined in the given experiment?

Answer»

The errors in the quantity become power times the error,

i.e., if \(x= p^aq^b,\)

then \(\frac{\Delta x}{x}\,=\,a\frac{\Delta p}{p}\,+\,b\frac{\Delta q}{q}\)