If $Q = \frac{X^n}{Y^m}$ and $\Delta X$ is the absolute error in the measurement of $X,$ and $\Delta Y$ is the absolute error in the measurement of $Y,$ then the absolute error $\Delta Q$ in $Q$ is:

  • A
    $\Delta Q = \pm \left( n\frac{\Delta X}{X} + m\frac{\Delta Y}{Y} \right)$
  • B
    $\Delta Q = \pm \left( n\frac{\Delta X}{X} + m\frac{\Delta Y}{Y} \right) Q$
  • C
    $\Delta Q = \pm \left( n\frac{\Delta X}{X} - m\frac{\Delta Y}{Y} \right) Q$
  • D
    $\Delta Q = \pm \left( n\frac{\Delta X}{Y} - m\frac{\Delta Y}{X} \right) Q$

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