The radius of a circle is given as 5cm subject to an error of 0.1cm. What is the percentage error in the area of the circle?
Evaluate \(\log_{b} a^{n}\) if \(b = a^{\frac{1}{n}}\).
Simplify \(\frac{(1.25 \times 10^{-4}) \times (2.0 \times 10^{-1})}{(6.25 \times 10^5)}\)