\(\left(\dfrac{1}{10}\right)^{10}.\left(\dfrac{1}{2}\right)^{50}=\left(\dfrac{1}{2}\right)^{60}\)
\(\left(\dfrac{1}{10}\right)^{10}.\left(\dfrac{1}{2}\right)^{50}=\left(\dfrac{1}{2}\right)^{50}.\left(\dfrac{1}{2}\right)^{50}=\left(\dfrac{1}{2}\right)^{100}\)